6. More Applications of Integration

Shell Method — Quiz

Test your understanding of shell method with 5 practice questions.

Practice Questions

Question 1

What is the basic idea of the shell method?

Question 2

A region is bounded by $y=x$, $y=0$, and $x=2$. It is rotated about the $y$-axis. What is the volume using the shell method?

Question 3

A region is bounded by $y=x^2$, $y=0$, and $x=1$. It is rotated about the $y$-axis. What is the volume using the shell method?

Question 4

In the shell method, what is the radius of a vertical shell located $x$ units from the $y$-axis?

Question 5

For a solid formed by rotating a region about the vertical line $x=3$, which type of slices are typically used for the shell method?