# How do you find the volume of the solid generated by revolving the region bounded by the curves y=x^3 and y=x^4 rotated about the y-axis?

##### 1 Answer

This is something that can be done two ways---the earlier way and the Shell Method. The Shell Method isn't too difficult to apply.

In this method, since you are rotating about the y-axis, your thickness **If you get a negative volume at the end, you know you did it backwards.**

Your graph basically looks like:

graph{(x^3 - y)(x^4 - y)sqrt(0.5^2 - (x-0.5)^2)/sqrt(0.5^2 - (x-0.5)^2) <= 0.00 [-1, 2, -0.095, 2]}

from

The formula uses the idea of circumference (the