Volume of solids of revolution help..

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January 20th 2009, 08:38 PM
Manizzle

Volume of solids of revolution help..

I need help with volumes of solids of revolution.. I am given region R bounded by curves $y = x + 2$ , and $y = x^{2}$ .
I tried setting it up to figure it out using the disk method, but I am not sure I got the right answer, so I just would like some help setting it up.

O and BTW my answer I got was Pi * 16 and 1/3
January 21st 2009, 09:00 AM
Danny

Quote:

Originally Posted by Manizzle

I need help with volumes of solids of revolution.. I am given region R bounded by curves $y = x + 2$ , and $y = x^{2}$ .
I tried setting it up to figure it out using the disk method, but I am not sure I got the right answer, so I just would like some help setting it up.

O and BTW my answer I got was Pi * 16 and 1/3

The curves intersect at $x = -1,\; 2$

$V = \pi \int_{-1}^2 (x+2)^2 - x^4\; dx = \frac{72 \pi}{5}$

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