Question 1003a

Definite Integrals: Areas and Volumes

Volume of Solid of Revolutions I

Question

An ellipse

{C}

has equation

\frac{x^2}{4} + \frac{y^2}{64} = 1.

The region bounded by

{C}

is rotated completely about the

{x\textrm{-axis}.}

Find the exact volume of the solid of revolution in the form

{k \pi.}

{k = }