## At A Glance

### SAT Prep Class: Finding the Volume of a Cylinder

Check out Bas Rutten's Liver Shot on MMA Surge: http://bit.ly/MMASurgeEp1 SAT Prep Question #18? Question: For a cylinder with a vertical height of 5 and a diameter of 6, what is the volume (V)? To solve this problem, you first need to know the formula to find the volume of a cylinder. This is:? V=A(height), where A is the area of the base and the height is the vertical height of the cylinder.? For a circular cylinder like the one in this problem, you need to know that the area of the base is equal to π(radius)?. This makes the volume formula look like this:? V=?π(radius)?(height) You already know the vertical height and the diameter of the base, since they are supplied in the problem. Use these values to first calculate the radius and then plug it into the formula to find the volume. Problems like this can seem complicated at first but it's important to make sure you plug in the correct numbers and don't mix up the dimensions.? Solve the Problem: 1. First you want to find the radius of the base of the cylinder so that you can plug it into the volume formula. Since you already know the diameter, you can use the equation diameter=2(radius).? 2. Plug in the diameter to make the equation:? 6=2(radius) Solve the equation by dividing both sides by 2 to get 3=radius.? 3. Now that you have the radius, you can plug it into the volume formula?V=?π(radius)?(height). You can also plug in the vertical height, which was provided in the question. This will give you:? V=π(3)?(5) Simplify the problem to get V=π(9)(5), which can be further simplified to V=45π. This is your answer. Read more by visiting our page at: http://www.mahalo.com/courses/sat-math-prep/practice-questions/volume-of-a-cylinder/
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