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 a region is revolved around the $y$-axis using the disc method, the slices are taken __________ to the axis of rotation.

Question 2

For the region between $x=0$ and $x=y^2$ revolved about the $y$-axis, what is the radius of each disk at height $y$?

Question 3

What is the volume of the solid formed by revolving the region bounded by $x=0$, $x=y^2$, $y=0$, and $y=2$ about the $y$-axis?

Question 4

Which integral gives the volume of the solid formed by revolving the region bounded by $x=0$, $x=y^2$, $y=0$, and $y=2$ about the $y$-axis?

Question 5

For the region between $y=1$ and $y=x+1$ on $0\le x\le 2$, revolved about the line $y=1$, what is the radius of a disk at position $x$?