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].
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].
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...
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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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