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
When a region under the graph of $y=f(x)$ on $[a,b]$ is revolved around the $x$-axis, what shape is the typical cross-section used in the disc method?
Question 2
Which integral gives the volume of the solid formed by revolving the region under $y=x^2$ from $x=0$ to $x=2$ around the $x$-axis?
Question 3
A region is revolved around the $y$-axis. If the radius of each disc is written as a function of $y$, what variable is used in the integral for volume?
Question 4
A region has constant radius $r=3$ and is revolved around an axis. What is the area of one disc-shaped cross-section?
Question 5
What is the correct volume of the solid formed by revolving the region under $y=1$ from $x=0$ to $x=4$ around the $x$-axis?