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AP Calculus AB Cha 5 C Calculate Volumes of Solids of Revolution Using Definite Integrals Topic 8 11 Questions

Practise washer-method questions by identifying outer and inner radii and integrating the difference of squared radii.

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

AP Calculus AB Cha 5 C Calculate Volumes of Solids of Revolution Using Definite Integrals Topic 8 11 Questions 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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