AP®︎ Calculus BC: 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 BC – Volume with Washer Method: Revolving Around the x- or y-Axis.


Questions List

Topic 8.11

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12

Question 1 Easy

Figure

The shaded region is bounded by y=x+3y=x+3, y=2y=2, x=0x=0, and x=2x=2. The region is revolved about the xx-axis to form a solid.

What is the area of the cross section of the solid perpendicular to the xx-axis at x=1x=1?

A4π4\pi
B16π16\pi
C12π12\pi
D2π2\pi

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC 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.