AP®︎ Calculus AB: Topic 8.10 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.10 of AP Calculus AB – Volume with Disc Method: Revolving Around Other Axes.

Questions List

Topic 8.10

Q1
Q2
Q3
Q4
Q5
Q6
Q7

Question 1 Easy

Figure

The shaded region is bounded by y=x2+3y=x^2+3, y=3y=3, and x=2x=2.

The region is revolved about the line y=3y=3. Which integral gives the volume of the solid?

Aπ∫02(x2)2 dx\pi\int_0^2 (x^2)^2\,dx
Bπ∫02(x2+3)2 dx\pi\int_0^2 (x^2+3)^2\,dx
Cπ∫02x2 dx\pi\int_0^2 x^2\,dx
D∫02(x2)2 dx\int_0^2 (x^2)^2\,dx

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 8.10: Volume with Disc Method: Revolving Around Other Axes

Learning Objective: CHA-5.C

Calculate volumes of solids of revolution using definite integrals.

Essential Knowledge: CHA-5.C.2

Volumes of solids of revolution around any horizontal or vertical line in the plane may be found by using definite integrals with the disc method.

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