In this problem, you wl find the volume of the solid generated by revolving the region bounded by the curves y =x, y = 36, and x = 1, about the y-axis via two methods: Using the Shell Method, the volume is expressed as an integral of the form V = with limits of integration a = and b = Using the Washer Method, the volume is expressed as an integral of the form with limits of integration a: and B The volume of the solid is V = cubic units.

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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) In this problem, you will find the volume of the solid generated by revolving the region bounded by the curves
y =x,
y = 36, and x = 1,
about the y-axis via two methods:
Using the Shell Method, the volume is expressed as an integral of the form
V =
with limits of integration a =
and b =
Using the Washer Method, the volume is expressed as an integral of the form
V =
with limits of integration a =
and ß =
The volume of the solid is V =
cubic units.
Transcribed Image Text:) In this problem, you will find the volume of the solid generated by revolving the region bounded by the curves y =x, y = 36, and x = 1, about the y-axis via two methods: Using the Shell Method, the volume is expressed as an integral of the form V = with limits of integration a = and b = Using the Washer Method, the volume is expressed as an integral of the form V = with limits of integration a = and ß = The volume of the solid is V = cubic units.
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