# Thread: Find volume of a solid bound by 2 functions

1. ## Find volume of a solid bound by 2 functions

Fins the volume if the solidobtained by rotating the region bounded by y=x^(1/3) and y=x/4

2. Rotating it about what?. y-axis?. x-axis?. Some other axis?.

Find the limits of integration by setting them equal and solving for x. We get x=0 and 8.

${\pi}\int_{0}^{8}(\frac{x^{2}}{16}-x^{\frac{2}{3}})dx$

$2{\pi}\int_{0}^{2}y(y^{3}-4y)dy$