Solved: Revolution About Horizontal and Vertical LinesUse

Chapter 6, Problem 24E

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QUESTION:

Problem   24E

Revolution About Horizontal and Vertical Lines

Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the given curves about the given lines.

y = x3, y = 8, x = 0

a. The y-axis

b. The line x = 3

c. The line x = -2

d. The x-axis

e. The line y = 8

f. The line y = -1

Questions & Answers

QUESTION:

Problem   24E

Revolution About Horizontal and Vertical Lines

Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the given curves about the given lines.

y = x3, y = 8, x = 0

a. The y-axis

b. The line x = 3

c. The line x = -2

d. The x-axis

e. The line y = 8

f. The line y = -1

ANSWER:

Solution :

Step 1 :

In this problem, we have to find the volume of the solid generated by revolving the regions bounded by the curves and lines using shell method .

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