Mathematics

Problem

The curve

y = x^{3}+1

encloses a region with the

y

-axis between

y=1

and

y=9

. This region is rotated about the

y

-axis to form a solid. What is the exact volume of the solid? a)

32\pi

\dfrac{84\pi}{5}

\dfrac{96\pi}{5}

12\pi