Find the volume of the solid generated by revolving the described region about the given axis:

The region bounded above by the line y=4 , below by the curve y=x^2 , rotated along the following lines: y=4

Question

Find the volume of the solid generated by revolving the described region about the given axis:

The region bounded above by the line y=4 , below by the curve y=x^2 , rotated along the following lines: y=4

anonymous · Answer

$$\pi \int\limits_{-2}^{2}(x^2 - 4 ) ^2 dx$$

If im not mistaken :) ( Im a bit rusty )

anonymous · Answer

Acutally 
π∫(4- x^2)2dx because y=4 > x^2 in the bounded area