   Chapter 7, Problem 20RE ### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

#### Solutions

Chapter
Section ### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Finding the Volume of a Solid In Exercises 19 and 20, use the disk method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the y-axis. y = e − x , y = 0 x = 0 , x = 1

To determine

To calculate: The volume of the solid generated by revolving the region bound by graphs of the equations y=ex,y=0,x=0,x=1 about the x-axisusing disk method.

Explanation

Given:

y=ex isbounded by y=0,x=0,x=1

Formula used:

The disk method states that the volume can be calculated by,

V=πab(f(x))2dx

And the integral:

exdx=ex

Calculation:

Consider the function,

y=ex

Tabular form of the function is:

x012y=ex10.370.14(x,y)(0,1)(1,0

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