- #1

Geekchick

- 77

- 0

## Homework Statement

x

^{2}+y

^{2}+16

## Homework Equations

[tex]\pi[/tex][tex]\int^{b}_{a}[/tex]{R(x)

^{2}}dx

## The Attempt at a Solution

I just need to know if i set this up right.

When I solve for y and graph it I get a semi circle that goes from -4 to 4.

[tex]\pi\int^{0}_{-4}[/tex]{([tex]\sqrt{(16-x^{2})}[/tex])[tex]^{2}[/tex]}dx + [tex]\pi\int^{4}_{0}[/tex]{([tex]\sqrt{(16-x^{2})}[/tex])[tex]^{2}[/tex]}dx

I get 85.4[tex]\pi[/tex]