An equation of the curve in the figure is y^2 = x^3

Line 4, OAC is the shaded curve

Code:

B | C(4,8)
8+ - - - - - -*
| *|
| *::|
| * :::|
| * :::::|
| *:::::::::|
--*------------+
O | 4 A

Find the volume of the solid of revolution generated when the given region of the figure is revolved about the indicated line:

revolved OAC about the line AC

Help the only problem i had is to subtract the radiuses to get to that given area of OAC...

ill handle the integration

Can you check my solution?

$\displaystyle \pi\int_{0}^{8} y^{\frac{2}{3}}$

$\displaystyle \pi\frac{3}{5}y^{\frac{5}{3}}\big|_{0}^{8}$

$\displaystyle \frac{96}{5}\pi$