Question

Find the volume of the solid generted when the region enclosed by y=x^2/(9-x^2), y=0, x=0 and x=2 is revolved about the x-axis.

Answer 1

\[2\pi \int\limits_{0}^{2}x^2/(9-x^2) dx\]

Answer 2

what method is this?
Washer?

Answer 3

disc, I forgot the square on the integrand

Answer 4

Disk method, I see
how do you determine which method to use?

Answer 5

By visualizing what the original curve would look like rotated about the designated axis. it a solid wiht no holes so it volume can be approximated with a stack of washers.

Answer 6

oh, alright
Thank You