AP®︎ Calculus AB: Topic 8.12 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.12 of AP Calculus AB – Volume with Washer Method: Revolving Around Other Axes.


Questions List

Topic 8.12

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9

Question 1 Easy

Figure

The region bounded by y=x2y = x^2 and y=x+2y = x + 2 is revolved about the line y=−3y = -3. Which expression gives the outer radius of the washer at xx, for −1≤x≤2-1 \leq x \leq 2?

Ax+2x + 2
Bx+5x + 5
Cx−1x - 1
Dx2+3x^2 + 3

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 8.12: Volume with Washer Method: Revolving Around Other Axes

Learning Objective: CHA-5.C

Calculate volumes of solids of revolution using definite integrals.

Essential Knowledge: CHA-5.C.4

Volumes of solids of revolution around any horizontal or vertical line whose cross sections are ring shaped may be found using definite integrals with the washer method.