Question

HELP!!!!!!PLEASE!!!!!!!
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.
y=0, cos^2(x), -pi/2less than or equal to x less than or equal to pi/2.
a. about the x-axis
b. about y=1

Answer 1

http://mathworld.wolfram.com/PappussCentroidTheorem.html

Answer 2

try to find mass center function and use that

Answer 3

So, for the first on of rotating it about the x-axis would you set it up as
\[2\Pi \int\limits_{0}^{\Pi/2}(\cos ^2(x))dx\]

Answer 4

I am confused as to how to do this. I think when you rotate in about the x-axis it will make a sort of sphere