AP®︎ Calculus AB: Topic 8.11 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.11 of AP Calculus AB – Volume with Washer Method: Revolving Around the x- or y-Axis.


Questions List

Topic 8.11

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Q2
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Q5
Q6
Q7
Q8
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Q10

Question 1 Easy

Figure

The shaded region lies between y=xy=x and y=x3y=x^3 for 0≤x≤10\leq x\leq 1.

The region is revolved about the xx-axis. Which of the following describes the cross section of the solid perpendicular to the xx-axis at x=12x=\frac12?

AA disc of radius 12\frac12.
BA washer with outer radius 12\frac12 and inner radius 18\frac18.
CA disc of radius 38\frac38.
DA washer with outer radius 12\frac12 and inner radius 38\frac38.

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 8.11: Volume with Washer Method: Revolving Around the x- or y-axis

Learning Objective: CHA-5.C

Calculate volumes of solids of revolution using definite integrals.

Essential Knowledge: CHA-5.C.3

Volumes of solids of revolution around the x- or y-axis whose cross sections are ring shaped may be found using definite integrals with the washer method.