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Solved: Revolution About Horizontal and Vertical LinesUse
Chapter 6, Problem 24E(choose chapter or problem)
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 .