# Thread: Volume using the shell/disc method

1. ## Volume using the shell/disc method

Find the volume of the solid formed by revolving the region bounded by the graphs y=xcubed, x=2, and y=1 about the y-axis.

2. Originally Posted by LinaD3
Find the volume of the solid formed by revolving the region bounded by the graphs y=xcubed, x=2, and y=1 about the y-axis.
did you graph the region? use the shell method. the volume is given by

$\displaystyle V = 2 \pi \int_1^2 x(x^3 - 1)~dx$

i leave it to you to see how i came up with that