Question

Shell Method: Find the volume of the solid when revolved around the x-axis. (I'll post the problem in the next post)

Answer 1

\[y=\sqrt{1-x^2} \] is the function and it meets x=1.

Answer 2

\[\int\limits_{0}^{1}y(y^2-1)dy \] =

Answer 3

I got 3/2pi once I evaluated the integral and I can't seem to figure out how they got 2/3pi.