_{How to find volume of a cylinder - Jan 18, 2024 · Determine the lateral surface area of the outer cylindrical surface using the formula Ao = 2πroh. Find the lateral surface area of the inner cylindrical surface using the formula Ai = 2πrih. Add all these areas to find the total surface area of the hollow cylinder to get A = 2π ( (ro² - ri²) + roh + rih). Dominik Czernia, PhD. } _{As for the volume of the donut, there's a trick: The volume of that donut is a function only of the length of the interior "tunnel"; it is the volume of a sphere of equal diameter. The length of the tunnel is $2\sqrt{3}$, so the donut has the same volume as a sphere of radius $\sqrt{3}$, which is $4\sqrt{3}$.Volume = πr 2 h. = 3.14 x 3 x 3 x 5. = 141.3 cm 3. Things to Remember. Surface area of a cylinder = 2πr 2 + 2πrh. Volume of a cylinder = πr 2 h. You need to know the radius and height to figure both the volume and surface area of a cylinder. Answers for volume problems should always be in cubic units. Answers for surface area problems ...Welcome to How to Find the Volume of a Cylinder with Mr. J! Need help with finding the volume of a cylinder? You're in the right place!Whether you're just st...Use this formula to calculate the volume of a cylinder. Here's a diagram to help you. To use the volume formula, you need the cylinder's height (which you know) and the area of its base. To get the area of the base, you need its radius. And to get the radius, you can use the surface area formula and solve for r: Remember that this "rectangle ...Consider a cylinder having a base radius of ‘r’ and height to be ‘h,’ thus the volume of a cylinder is given by-Volume of a cylinder = (area of base) × h = (π r 2) h = π r 2 h. Solved Problems. Question 1:Calculate the radius of the base of a cylindrical container of volume 220 m 3. The height of the cylindrical container is 70 m.V = 1/3hπr². 3V = hπr² (Multiply by 3 to remove the fraction) 3V/πr² = h (Dividing both sides by 'πr²' isolates 'h') With this new formula (3V/πr² = h), you can substitute the valve of the volume and the radius and solve for the height. V=131. h=approx. 5. 3 (131)/ (π x 5²) = h = approx. 5. When we solve for the height we get 5 back ... Volume of a Cylinder is the amount of space contained within the three-dimensional boundaries of the cylinder. Volume of a Cylinder formula is πr 2 h where r denotes the radius of the base and h is the height of the cylinder.. A cylinder is a 3-dimensional solid figure with two identical bases connected by a curving surface. It can …A cylindrical sweet container has a length of 12cm and a diameter of 1.5cm. Find its volume. Give your answer to 1 decimal place. This time you need to be careful. To find the area of a circle, or the volume of a cylinder, we need the radius. In this case, we have been given the diameter. The radius is half the diameter: radius = diameter ÷ 2How to Find the Volume of a Cylinder | Examples. Now, let's use what we've learned so far to solve a couple of examples. Example . A cylinder has a radius of 3 \hspace{0.2em} 3 3 inches and a height of 10 \hspace{0.2em} 10 10 inches. Find its volume. Solution.00:01:01.210. Alright, let's see some examples on finding the volume of a cylinder. For these examples, we take pi as 3.14. 00:01:11.200. Find the volume of this cylinder which has the radius 3cm and the height 5cm. 00:01:18.140. Let's start by using the formula, V equal pi r square h. 00:01:24.040.We can determine the volume of a conical cylinder using the following steps: Step 1: Identify the height "H", of the conical cylinder. Step 2: Identify the value of larger base radius "R" and smaller base radius "r". Step 3: Use the formula volume of the conical cylinder, V = πH/3 (R 2 + Rr + r 2) to determine the value of the volume of the conical …Jan 11, 2024 · Calculating the Volume of a Cylinder 1. Either circle will do since they are the same size. If you already know the radius, you can move on. 2. Just plug the radius you found into the equation. ... 3. If you know the height already, move on. If not, use a ruler to measure it. The height is the ... The formula we'll be using to find the volume of a cylinder is as follows: V = πr2h V = π r 2 h. In this formula, V represents the volume of the cylinder, π is pi, r is the radius of the circle at the base of the cylinder, and h is the height. You may recall that the formula for finding the area of a circle is A = πr2 A = π r 2 , so all ... The volume of the cylinder is the space occupied by it in any three-dimensional plane. The amount of water that could be immersed in a cylinder is described by its volume. The formula for the volume of cylinder is given by: Volume of the Cylinder, V = πr2h cubic units. Where ‘h’ is the height and ‘r’ is the radius.The cylinder volume should be 1570.8 cm3. That's how you find the volume of a cylinder with this calculator. How to calculate the volume of a hollow cylinder: Input the height of the cylinder in the "Height" box. Suppose it equals 20 cm. Input the external diameter of the cylinder in the "Diameter external" box.Discover the relationship between the volume of a cylinder and sphere to find the equation for volume of a sphere. Visit https://www.realmathsolutions.com fo...Step 1: write down the formula and identify the variables. volume of a cylinder = diameter2 × 0.7854 × height Variables height (h) = 51 inches diameter (d) = 7 inches volume of a cylinder = diameter 2 × 0.7854 × height Variables height (h) = 51 inches diameter (d) = 7 inches. Now before we move on, check and make sure the variables are in ...The volumes of standard 3D solids can be found using specific formulae. In this SQA National 5 Maths revision guide, we'll go through how to work out the volume of a cylinder, sphere, hemisphere ...This is an answer to Burning Questions round 6.5 A Cylinder is a common object in everyday life, like a can. Some people for whatever reasons need to know the volume of the cylinder, how much room there is inside a cylinder. Now it might seem like a difficult thing to find, but really all you need to know, as with most math, is a simple equation.To find the volume of a cylinder, start by finding the height of the cylinder. Then, find the radius of the circle at the top or bottom. Next, find the area of the circle, which you can find with the formula π, where r is the radius. Finally, multiply the area of the circle by the height of the cylinder to find the volume.Learn how to find the lateral area, surface area and volume of a cylinder in this math tutorial by Mario's Math Tutoring. We go through where the formulas c...3- Subtracting internal radius from the external and multiplying pie with the product of cylinder height and the difference of external and internal radius, we get: V (hollow) = 3.14 × (0.1) × 20 3.14 × ( 0.1) × 20. V (hollow) = 6.28 6.28. 4- so the volume of our hollow cylinder is 6.28cm 6.28 c m. Calculate Volume of a Cylinder with its ... Example 1: The volume of a hexagonal cylinder is 70.14 cubic units. If its base edge length is 3 units, find its height. Solution: Volume of the hexagonal cylinder is, (3√3/2)s 2 × h. Its base edge length, s = 3 units. Let us assume its height to be 'h'. Substitute these values in the formula to find the volume of the hexagonal cylinder:Feb 12, 2013 ... Corbettmaths - This video explains the formula for calculating the volume of a cylinder and gives some examples.Jan 11, 2024 · Calculating the Volume of a Cylinder 1. Either circle will do since they are the same size. If you already know the radius, you can move on. 2. Just plug the radius you found into the equation. ... 3. If you know the height already, move on. If not, use a ruler to measure it. The height is the ... Get your free lessons: https://vividmath.comGeometry: How to find the Volume of a Cylinder.See all Volume lessons: https://vividmath.com/geometry/ge-surface-... The volume of the cylinder is the space occupied by it in any three-dimensional plane. The amount of water that could be immersed in a cylinder is described by its volume. The formula for the volume of cylinder is given by: Volume of the Cylinder, V = πr2h cubic units. Where ‘h’ is the height and ‘r’ is the radius. The formula for the volume of a sphere is V = 4/3 π r³, where V = volume and r = radius. The radius of a sphere is half its diameter. So, to calculate the surface area of a sphere given the diameter of the sphere, you can first calculate the radius, then the volume. Created by Sal Khan and Monterey Institute for Technology and Education.Cylinder Volume Formula. Cylinder Volume = pi x radius squared x height. Volume of a cylinder formula: V = π r 2 h. Cylinder Volume = 3.14159265 x radius 2 x height. 1 cubic metre = 1000 litres. 1 cubic centimetre = 1 millilitres. 1000 cubic centimetres = 1 litre.Get your free lessons: https://vividmath.comGeometry: How to find the Volume of a Cylinder.See all Volume lessons: https://vividmath.com/geometry/ge-surface-... As you can see, this is a cylinder with a radius of 4 inches and a height of 8 inches. Normally, you can calculate the volume of a cylinder with this formula: Volume = Pi * r^2 * h. Thus, the volume of this cylinder is: Volume = Pi * 4^2 * 8 = 402.12 sq. inch. Thus, the methods used to calculate the volume of a cylinder in C programming are as ...Calculating the liquid volume of a cylinder involves multiplying the height by the area of its base or top. Input the number values correlating to the parts of the cylinder in the ...Welcome to How to Find the Volume of a Cylinder with Mr. J! Need help with finding the volume of a cylinder? You're in the right place!Whether you're just st...The formula for the volume of a hollow cylinder is: Cylinder volume = π * (R² - r²) x cylinder height R = external radius. r = internal radius. Let’s say you wanted to calculate a cylindrical shell’s volume, such as a paper towel roll. 1. Identify the external radius (R) of the cylinder. Example: 6cm. 2. Now, the volume of cylinder will be the product of the base area of the discs and the height ‘h’. Volume of the cylinder = Area of the circular base × Height. Area of the circular base = πr 2. Height = h. Thus, the volume of a cylinder of height ‘h’ and base radius ‘r’ is given as πr2h. ∴ Volume of a Cylinder = πr2h. This page examines the properties of a right circular cylinder. A cylinder has a radius (r) and a height (h) (see picture below). This shape is similar to a can. The surface area is the area of the top and bottom circles (which are the same), and the area of the rectangle (label that wraps around the can). Example 1: The volume of a hexagonal cylinder is 70.14 cubic units. If its base edge length is 3 units, find its height. Solution: Volume of the hexagonal cylinder is, (3√3/2)s 2 × h. Its base edge length, s = 3 units. Let us assume its height to be 'h'. Substitute these values in the formula to find the volume of the hexagonal cylinder:Most stocks traded in the United States have a consistent volume profile, which shows how a stock trades throughout the day on an exchange. Traders sometimes refer to the volume tr...Jan 11, 2024 · Calculating the Volume of a Cylinder 1. Either circle will do since they are the same size. If you already know the radius, you can move on. 2. Just plug the radius you found into the equation. ... 3. If you know the height already, move on. If not, use a ruler to measure it. The height is the ... 6 days ago · Here are the steps to find out how much concrete we would need for this test using our calculator: Input 4 inches for the diameter and 8 inches for the height. Enter 10 for the quantity of concrete cylinders needed. Our calculator will already display a concrete volume of 1,005.3 cubic inches by this time. Learn how to find the volume of a cylinder using different formulas for right circular, oblique, elliptic and hollow cylinders. See examples, definitions and important notes on cylinders.To calculate the volume of a cylinder, start by calculating the area of the circular base. That will give you a measure for the number of unit cubes that can fit across the bottom of the cylinder. The height of the cylinder will show how high cubes can be stacked inside the cylinder. Here is the formula for finding the volume of a cylinder.Apr 1, 2023 · When calculating the volume of an oval cylinder, you need the following steps. The first step involves multiplying the smallest radius. For example, the minor axis, with the major axis or the largest radius. Then multiply the obtained value by π. Divide the new value obtained by the number 4 to get the oval area. In this video you will be shown how to work out the volume of a half cylinder. To do this you would work out the volume of the full cylinder using V=πr^2h. V...When it comes to hydraulic cylinder maintenance, one of the key decisions you may face is whether to repair or replace a damaged cylinder. Hydraulic cylinders are crucial component...The formula for finding the volume of a cylinder with differentials is V = πr^2h, where V is the volume, π is the constant pi, r is the radius ...Jan 18, 2024 · Learn how to find the volume of a cylinder using formulas for right, hollow and oblique cylinders. Use the calculator to enter some numbers and get the result in any unit. See examples, FAQs and tips on cylinders in nature and drawing. The formula we'll be using to find the volume of a cylinder is as follows: V = πr2h V = π r 2 h In this formula, V represents the volume of the cylinder, π is pi, r is the radius of the …Formula – How to find the height of a cylinder from the radius and volume. Height = Volume ÷ (π x Radius 2) Example. A cylinder has a volume of 785.39 and a radius of 5. Height = 785.39 ÷ (3.14159 x 5 2) Height = 785.39 ÷ (3.14159 x 25) Height = 785.39 ÷ 78.53975. Height = 10. Method #2 – Height of a Cylinder from the Radius and Curved ...The volume of a cylinder is equal to the product of the area of one of the bases multiplied by the height of the object. ... where r is the radius, and h is the ...Multiply pi, or 3.14, by the square of the radius to calculate surface area. Multiply the surface area by the height of the cylindrical portion of the silo to determine that area. A silo with a radius of 10 feet and a height of 20 feet for the cylinder has a volume of 6,280 cubic feet. Determine the area of the dome portion of the silo with the ...The volume of shares traded outside of public exchanges is growing fast in Europe. Trades on so-called “dark pools” jumped 45% over the past six months, according to a new report (...When the cylinder is upright, or resting on one of its bases, we can find the volume of a substance in the cylinder as long as we know the height the substance reaches in the cylinder. The formula is the same as that for the volume of a right cylinder: V = π r 2 h 1. where r is radius of the base and h 1 is the height the substance reaches in ... Calculating the volume of a cylinder. A cylinder with radius r units and height h units has a volume of V cubic units given by. Example 27. Find the volume of a cylindrical canister with radius 7 cm and height 12 cm.As you can see, this is a cylinder with a radius of 4 inches and a height of 8 inches. Normally, you can calculate the volume of a cylinder with this formula: Volume = Pi * r^2 * h. Thus, the volume of this cylinder is: Volume = Pi * 4^2 * 8 = 402.12 sq. inch. Thus, the methods used to calculate the volume of a cylinder in C programming are as ...To find the volume of a cylinder, start by finding the height of the cylinder. Then, find the radius of the circle at the top or bottom. Next, find the area of the circle, which you can find with the formula π, where r is the radius. Finally, multiply the area of the circle by the height of the cylinder to find the volume.Example 1: Find the height of the cylinder if the volume of the cylinder in terms of pi is 125π cubic inches and the radius of the cylinder is 5 inches. Solution: Given that volume of the cylinder in terms of pi = 125π cubic inches and r = 5 inches. The volume of a cylinder V = πr 2 h cubic units. 125π = π × (5) 2 × h. ⇒ h = 125/25 = 5. Mar 8, 2010 ... In this video the tutor shows how to find the volume of a cylinder. He relates the cylinder to real world examples of cans etc.Jan 18, 2024 · Determine the lateral surface area of the outer cylindrical surface using the formula Ao = 2πroh. Find the lateral surface area of the inner cylindrical surface using the formula Ai = 2πrih. Add all these areas to find the total surface area of the hollow cylinder to get A = 2π ( (ro² - ri²) + roh + rih). Dominik Czernia, PhD. We can determine the volume of a conical cylinder using the following steps: Step 1: Identify the height "H", of the conical cylinder. Step 2: Identify the value of larger base radius "R" and smaller base radius "r". Step 3: Use the formula volume of the conical cylinder, V = πH/3 (R 2 + Rr + r 2) to determine the value of the volume of the conical …V = 1/3hπr². 3V = hπr² (Multiply by 3 to remove the fraction) 3V/πr² = h (Dividing both sides by 'πr²' isolates 'h') With this new formula (3V/πr² = h), you can substitute the valve of the volume and the radius and solve for the height. V=131. h=approx. 5. 3 (131)/ (π x 5²) = h = approx. 5. When we solve for the height we get 5 back ...Volume of prisms and cylinders (EMA7P) Volume. Volume is the three dimensional space occupied by an object, or the contents of an object. It is measured in cubic units. The volume of right prisms and cylinders is simply calculated by multiplying the area of the base of the solid by the height of the solid.Apr 1, 2023 · When calculating the volume of an oval cylinder, you need the following steps. The first step involves multiplying the smallest radius. For example, the minor axis, with the major axis or the largest radius. Then multiply the obtained value by π. Divide the new value obtained by the number 4 to get the oval area. Formula – How to find the height of a cylinder from the radius and volume. Height = Volume ÷ (π x Radius 2) Example. A cylinder has a volume of 785.39 and a radius of 5. Height = 785.39 ÷ (3.14159 x 5 2) Height = 785.39 ÷ (3.14159 x 25) Height = 785.39 ÷ 78.53975. Height = 10. Method #2 – Height of a Cylinder from the Radius and Curved ...The volume is found by subtracting the inner cylinder from the outer cylinder as given by V = πr out 2 h – πr in 2 h. The area of the cylinder using the outer radius is 80π cm 3, and resulting hole is given by the volume from the inner radius, 20π cm 3. The difference between the two gives the volume of the resulting hollow cylinder, 60π ...To find the volume of the hollow cylinder in liters, we can convert the value in liters using the below conversion, i.e., 1 Litre = 1000 cubic cm or cm 3 For example: A cylindrical tube having a volume of 1000 cm 3 is equivalent to having a capacity of 1L.Apr 1, 2023 · When calculating the volume of an oval cylinder, you need the following steps. The first step involves multiplying the smallest radius. For example, the minor axis, with the major axis or the largest radius. Then multiply the obtained value by π. Divide the new value obtained by the number 4 to get the oval area. In this video you will be shown how to work out the volume of a half cylinder. To do this you would work out the volume of the full cylinder using V=πr^2h. V...The formula for the volume of a hollow cylinder is: Cylinder volume = π * (R² - r²) x cylinder height R = external radius. r = internal radius. Let’s say you wanted to calculate a cylindrical shell’s volume, such as a paper towel roll. 1. Identify the external radius (R) of the cylinder. Example: 6cm. 2. When it comes to buying cylinder heads, it’s crucial to ensure that you’re investing in a high-quality product. A cylinder head plays a vital role in the overall performance of an ...Now, the volume of cylinder will be the product of the base area of the discs and the height ‘h’. Volume of the cylinder = Area of the circular base × Height. Area of the circular base = πr 2. Height = h. Thus, the volume of a cylinder of height ‘h’ and base radius ‘r’ is given as πr2h. ∴ Volume of a Cylinder = πr2h. Solution : Volume = 3.1416 x 5 2 x 10. = 3.1416 x 25 x 10. Volume = 785.3982 in³. Volume & surface area of cylinder calculator uses base radius length and height of a cylinder and calculates the surface area and volume of the cylinder. Cylinder calculator is an online Geometry tool requires base radius length and height of a cylinder.Rectangular solids and cylinders are somewhat similar because they both have two bases and a height. The formula for the volume of a rectangular solid, [latex]V=Bh[/latex] , can also be used to find the volume of a cylinder. For the rectangular solid, the area of the base, [latex]B[/latex] , is the area of the rectangular base, length × width.Jan 18, 2024 · Learn how to find the volume of a cylinder using formulas for right, hollow and oblique cylinders. Use the calculator to enter some numbers and get the result in any unit. See examples, FAQs and tips on cylinders in nature and drawing. 00:01:01.210. Alright, let's see some examples on finding the volume of a cylinder. For these examples, we take pi as 3.14. 00:01:11.200. Find the volume of this cylinder which has the radius 3cm and the height 5cm. 00:01:18.140. Let's start by using the formula, V equal pi r square h. 00:01:24.040. To calculate the volume of a tank of a different shape, use our volume of a tank calculator. Volume of a cylinder. The volume formula for a cylinder is height x π x (diameter / 2) 2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius 2. Visual in the figure below: The number of shares bought and sold through an exchange over a given period is commonly called a stock's volume. Traders and investors often track volume levels to help them decid...Mac: The volume keys on a Mac keyboard and an Apple Remote are great ways to control you Mac's volume, but that only changes the system volume, not the volume in iTunes. If that's ...The formula for the volume of a sphere is V = 4/3 π r³, where V = volume and r = radius. The radius of a sphere is half its diameter. So, to calculate the surface area of a sphere given the diameter of the sphere, you can first calculate the radius, then the volume. Created by Sal Khan and Monterey Institute for Technology and Education.A cylinder has a radius of 12 and a height of 6. Substituting those values into the cylinder volume formula gives: V = π * 12² * 6. V = π * 144 * 6. V = 2714. The volume of the cylinder is 2714.Find the volume of a cylinder with diameter 4 inches and height 9.5 inches (rounded to 2 decimal places). 3. If the radius of a sphere is doubled, what happens to the volume of the sphere?Volume of Horizontal Cylinder. How do we find the volume of a cylinder like this one, when we only know its length and radius, and how high it is filled? First we work out the area at one end (explanation below): Area = cos -1 ( r − h r) r 2 − (r − h) √ (2rh − h 2) Where: r is the cylinder's radius. h is the height the cylinder is ...The Gallons in a Cylinder calculator computes the volume of a right circular cylinder in gallons from the height (h) and radius (r) of the base (see diagram).. Roblox no download freeIf you're anything like me, you're doing a sad number of Google searches for things like "one gallon into pints"—while the garlic is quickly browning. This simple visualization of ...Calculator online on how to calculate volume of capsule, cone, conical frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, triangular prism and sphere. Calculate volume of geometric solids. Volume formulas. Free online calculators for area, volume and surface area.This page examines the properties of a right circular cylinder. A cylinder has a radius (r) and a height (h) (see picture below). This shape is similar to a can. The surface area is the area of the top and bottom circles (which are the same), and the area of the rectangle (label that wraps around the can). Sep 1, 2022 ... Step by step directions for finding the volume of a cylinder.A cylinder has a circle for the base so you can use pi x radius squared to finf ...Volume of a cylinder. The volume formula for a cylinder is height x π x (diameter / 2) 2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius 2. Visual in the figure below: …00:01:01.210. Alright, let's see some examples on finding the volume of a cylinder. For these examples, we take pi as 3.14. 00:01:11.200. Find the volume of this cylinder which has the radius 3cm and the height 5cm. 00:01:18.140. Let's start by using the formula, V equal pi r square h. 00:01:24.040. To find the volume of a cylinder, you need to know the radius of the base and the height of the cylinder. The formula for calculating the volume of a cylinder is V = πr^2h, where V represents the volume, r is the radius of the base, and h is the height of the cylinder. By plugging in the value s for r and h into the form ula, you can easily ...Volume = πr 2 h. = 3.14 x 3 x 3 x 5. = 141.3 cm 3. Things to Remember. Surface area of a cylinder = 2πr 2 + 2πrh. Volume of a cylinder = πr 2 h. You need to know the radius and height to figure both the volume and surface area of a cylinder. Answers for volume problems should always be in cubic units. Answers for surface area problems ...Cylinder Volume Calculator. This Cylinder Volume Calculator is designed to help you determine the volume of a cylinder. To use the calculator, simply enter the radius of the cylinder base, the height of the cylinder, and click "Calculate". As you enter new dimensions into the volume calculator, a running total will also be displayed.A cylinder has a circular top, a circular bottom and the side going round. Formula to Calculate Volume of a Cylinder. There’s a formula you can use to calculate the volume of a cylinder. This is a standard formula that assumes you have the radius (r) of the circle at the top (or bottom), and vertical height (h) of the cylinder. So Volume (V); In summary, the conversation discusses using the product rule to find the derivative of the volume of a cylinder and the confusion over the presence of "2" in the equation. The problem is clarified to be a related rates problem involving the volume of a cylinder and the discussion shifts to finding the derivative of the volume with respect to …Volume of a cylinder = πr 2 h. = 3.14 x 10 x 10 x 14. = 4396 cm 3. Given, 1 Liter = 1000 cubic centimeter (cm 3) Therefore, divide 4396 by 1000 to get. Volume = 4.396 liters. Example 5. The external radius of a plastic pipe is 240 mm, and the internal radius is 200 mm. This was recorded in class and as a result takes longer then you probably want it to. I have posted another that is much quickerLearn how to find the volume of a partly filled horizontal cylinder like this one: ... So a cone's volume is exactly one third ( 1 3) of a cylinder's volume. In future, order your ice creams in cylinders, not cones, you get 3 times as much! Like a Prism. A cylinder is like a prism with an infinite number of sides, see Prism vs Cylinder.Formula – How to find the volume of a cylinder from the height and total surface area. Step 1: Find the radius of the cylinder. B = Height 2 + ((2 x Area) ÷ π) Radius = (√B – Height) ÷ 2. Step 1: Find the volume of the cylinder. Volume = π x Radius 2 x Height. Example. A cylinder has a surface area of 471.24 and a height of 10 .Popular TopicsHow to apply parental controls on ipadDownload video from twitterHotel near metropolitan museum of artMorning affirmationsMiranda lambert drunkRock songsYoung ryan reynoldsMiranda derrickDartmouth carnivalAmazon mp3 music downloadScary trainAt any price 2012 movieMercury cougar mercuryAaron rodgers injury video}