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AP Calculus AB 8.11 Volume with Washer Method Revolving Around the X or Y Axis Questions

Review AP Calculus AB 8.11 by identifying outer and inner radii, selecting bounds and axis orientation, and integrating the washer area.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • identify outer and inner radii for washers perpendicular to the axis
  • integrate the difference of squared radii to find volume

Covered syllabus points

CHA-5.C—Calculate volumes of solids of revolution using definite integrals—Topic 8.11

Question 1

[Maximum number: 1]

The region bounded by y=ex,y=1y=e^{x}, y=1, and x=2 is rotated about the x-axis. The volume of the solid generated is given by the integral:

A

integral from 0 to 2 of e squared x end exponent dx

B

i integral from 0 to 2 of left parenthesis e to the power of x end exponent minus 1 right parenthesis squared end exponent d x

C

i integral from 0 to 2 of left parenthesis e squared x end exponent minus 1 right parenthesis d x

D

integral from 1 to

E

squared of left parenthesis 4 minus natural log squared end exponent y right parenthesis d y

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