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Pre-lab, week of April 18, 2022 We've been finding volumes of objects by slicing them into flat sections most of the time those cross-sections are
Pre-lab, week of April 18, 2022 We've been finding volumes of objects by slicing them into flat sections most of the time those cross-sections are circular. In this prelab / lab, we'll be find volumes of objects by slicing them into sections that are other shapes. Consider a cylinder with radius 1, lying on its side, 3 units long. I. Look up a formula for the volume of a cylinder, and use it to compute the volume of this cylinder.. II. 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 y E [-1, 1]. 4. Set up and compute an integral that finds the volume of this cylinder. 5. Does your answer match up with part I? N
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