5. Applications of the Definite Integral

Disk And Washer Methods — Quiz

Test your understanding of disk and washer methods with 5 practice questions.

Practice Questions

Question 1

What shape is used by the disk method for each cross-section when there is no hole in the solid?

Question 2

What is the area of one washer cross-section in terms of the outer radius $R$ and inner radius $r$?

Question 3

A region under $y=x$ from $x=0$ to $x=1$ is revolved about the $x$-axis. What is the volume?

Question 4

A region is bounded by $y=2$ and $y=x$ for $0\le x\le2$ and is revolved about the $x$-axis. What is the volume?

Question 5

The region between $y=x^2$ and the $x$-axis on $0\le x\le1$ is revolved about the $x$-axis. Which method applies directly?