8. Applications of Integration

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

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

Practice Questions

Question 1

For a region bounded by $y=f(x)$ and $y=g(x)$ on $[a,b]$, where $f(x)\ge g(x)$, what is the washer-method formula for the volume when the region is revolved around the x-axis?

Question 2

What is the volume when the region bounded by $y=4$ and $y=2x$ on $[0,2]$ is revolved around the x-axis?

Question 3

What is the volume when the region bounded by $x=3$ and $x=y^2$ is revolved around the y-axis?

Question 4

For the region bounded by $y=x$ and $y=1$ on $[0,1]$ revolved around the x-axis, what is the inner radius?

Question 5

What is the volume when the region bounded by $y=x^2$ and $y=0$ on $[0,2]$ is revolved around the x-axis?