8. Applications of Integration

Volume With Disc Method: Revolving Around The X- Or Y-axis — Quiz

Test your understanding of volume with disc method: revolving around the x- or y-axis with 5 practice questions.

Practice Questions

Question 1

What is the basic idea of the disc method for finding volume of a solid of revolution?

Question 2

A region under $y=f(x)$ on the interval $[a,b]$ is revolved around the $x$-axis. Which integral gives the volume using the disc method?

Question 3

If the region between the graph of $y=2$ and the $x$-axis is revolved around the $x$-axis from $x=0$ to $x=3$, what is the volume?

Question 4

A region under $x=g(y)$ on the interval $[c,d]$ is revolved around the y-axis. Which integral gives the volume using the disc method?

Question 5

A solid has circular cross sections perpendicular to the $x$-axis. If each cross section has radius $r(x)=x$, which integral represents the volume on $[0,4]$?