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].
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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