To find:The volume of the solid generated by resolving the region bounded by the curves.
Answer to Problem 47RE
The volume of the solid generated is
Explanation of Solution
Given information:
Formula used:
The formula for cylindrical shell is,
Calculation:
Let's graph thegiven area and draw some conclusions based on it.
Given that the interval of the
According to the shell approach, the volume of the solid is determined by the integral because, from the image seen above, the shell height is
The above integral is calculated by using integration by parts,
Thus,
Therefore, the volume of the solid generated is
Chapter 7 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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