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 using the washer method, what is the main idea behind each cross section perpendicular to the axis of revolution?
Question 2
What formula gives the area of a washer with outer radius $R$ and inner radius $r$?
Question 3
A region is revolved around the $x$-axis. Which type of slices are used in the washer method?
Question 4
A region lies between $y=f(x)$ and the $x$-axis for $0\le x\le 2$, and it is revolved around the $x$-axis. Which integral represents the volume if $f(x)\ge 0$ on the interval?
Question 5
A region is bounded by $y=4$ and $y=x^2$ on $0\le x\le 2$, and it is revolved around the $x$-axis. What is the outer radius of the washer at a typical $x$-value?