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## Homework Statement

Determine the surface area of the roof of the structure if it is formed by rotating the parabola about the axis.

## Homework Equations

[itex]SA=\int _0^{16}{2\pi\left ( 4 \sqrt{16-y} \right ) dy}[/itex] (???)

## The Attempt at a Solution

[itex]SA=\left [ -\frac{16}{3}\pi\left ( 16-y \right )^{\frac{3}{2}}\right ]_{0}^{16}[/itex]

[itex]SA=1072.33[/itex]

So, 1072.33 m^2?