Consider a cylinder with radius 1, lying on its side, 3 units long. Now, we'll be using an integral to calculate the volume of this cylinder by slicing it up into flat sections, as shown below. 1. What is the shape of each “slice”? 2. If we center the circular face at the origin, what is the equation for that circle? 3. If the cylinder is 3 units long, find the measurements of the slice at height y, for ye[-1,1].

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 54AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Consider a cylinder with radius 1, lying on its side, 3 units long. Now, we'll be using an integral to calculate the volume of this cylinder by slicing it up into flat sections, as shown below. 1. What is the shape of each “slice”? 2. If we center the circular face at the origin, what is the equation for that circle? 3. If the cylinder is 3 units long, find the measurements of the slice at height y, for ye[-1,1]. 

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How would I set up an integral that funds the volume of the cylinder?

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