Volume Practice (Disk and Cross Section)

Set up but do not solve an integral that will find the volume of the solid described.

• A

• B

• C

• D

• E

Set up but do not solve an integral that will find the volume of the solid described.

• A

• B

• C

• D

• E

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

Select the integral that would find the volume of the region revolving around the given axis.

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Hint: Solve for x--you have to get rid of the ln using its inverse!

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Write the integral that would be used to find the volume of the solid generated when the region bounded by the x-axis, the y-axis and 2x + y = 6 is revolved about the y-axis.

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The base of a solid S is the region enclosed by the graph of y = ln x, the line x = e, and the x-axis. If the cross sections of S perpendicular to the x-axis are squares, which of the following gives the best approximation of the volume of S?

• 0.718

• 1.718

• 2.718

• 3.171

• 7.388