Funkychemist
New member
- Joined
- Jul 27, 2010
- Messages
- 8
Ok got one more I'm stumped on.
Find the capacity of a wine barrel with the shape of a solid that is obtained by revolving the region bounded by the graphs of \(\displaystyle x = R - Ky^2\), \(\displaystyle x = 0\), \(\displaystyle y = \frac{-h}{2}\), and \(\displaystyle y = \frac{h}{2}\) about the y-axis.
So far I've set up an integral from [\(\displaystyle \frac{-h}{2}\),\(\displaystyle \frac{h}{2}\)] of \(\displaystyle x = (R-Ky^2)^2\) all multiplied by pi, however, I get stuck when trying to integrate it.
Find the capacity of a wine barrel with the shape of a solid that is obtained by revolving the region bounded by the graphs of \(\displaystyle x = R - Ky^2\), \(\displaystyle x = 0\), \(\displaystyle y = \frac{-h}{2}\), and \(\displaystyle y = \frac{h}{2}\) about the y-axis.
So far I've set up an integral from [\(\displaystyle \frac{-h}{2}\),\(\displaystyle \frac{h}{2}\)] of \(\displaystyle x = (R-Ky^2)^2\) all multiplied by pi, however, I get stuck when trying to integrate it.