# Math Help - Volume of Revolution

1. ## Volume of Revolution

Find the volume of region bounded by

$y = 6-2x-x^2$

and the line $y=x+6$

rotated about the line y = 3.

2. Originally Posted by Shyam
Find the volume of region bounded by

$y = 6-2x-x^2$

and the line $y=x+6$

rotated about the line y = 3.
method of washers ...

$V = \pi \int_{-3}^0 [(6-2x-x^2)-3]^2 - [(x+6) - 3]^2 \, dx$