8. Applications of Integration

Volume With Washer Method: Revolving Around Other Axes — Quiz

Test your understanding of volume with washer method: revolving around other axes with 5 practice questions.

Practice Questions

Question 1

When a region is revolved around a horizontal axis, what is the washer method mainly used to find?

Question 2

A region is revolved around the $x$-axis. What is the outer radius of the washer at a typical point if the region lies between $y=f(x)$ and $y=g(x)$ with $f(x)\ge g(x)\ge 0$?

Question 3

Which integral gives the volume when the region between $y=2$ and $y=x$ on $0\le x\le 2$ is revolved around the $x$-axis?

Question 4

A region is revolved around the $y$-axis. Which variable is usually more convenient to integrate with respect to when using the washer method?

Question 5

What is the basic cross-sectional area formula for a washer with outer radius $R$ and inner radius $r$?