8. Applications of Integration

Volume With Disc Method: Revolving Around Other Axes — Quiz

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

Practice Questions

Question 1

When using the disc method to find the volume of a solid formed by revolving a region around the $x$-axis, what is the radius of each disc?

Question 2

What is the disc method formula for the volume of a solid obtained by revolving $y=f(x)$ from $x=a$ to $x=b$ about the $x$-axis?

Question 3

Which method is most appropriate when a region is revolved around the $y$-axis but the function is given as $y=f(x)$ and the slices are taken perpendicular to the $y$-axis?

Question 4

A region under $y=x$ from $x=0$ to $x=2$ is revolved about the $x$-axis. What is the volume?

Question 5

Why does the disc method use circles in each cross-section?