Thread: Volume of curve on graph

1. Volume of curve on graph

Refer to the figure and find the volume generated by rotating the given region about the specified line.

2. Originally Posted by racewithferrari
Refer to the figure and find the volume generated by rotating the given region about the specified line.

using cylindrical shells w/r to x ...

$V = 2\pi \int_0^1 x^4 \, dx$

using washers w/r to y ...

$V = \pi \int_0^1 (1)^2 - (\sqrt[3]{y})^2 \, dy$