Mathematics

Problem

Let S be the solid formed when the region bounded by

x = y^{3}

x = 8

, and

y = 0

is revolved about the y-axis. Which of the following equals the volume of S? a)

\dfrac{576\pi}{7}

\dfrac{768\pi}{7}

\dfrac{384\pi}{7}

\dfrac{896\pi}{7}