Saturday

April 19, 2014

April 19, 2014

Posted by **Liz** on Sunday, June 3, 2012 at 6:21pm.

- Calculus -
**Steve**, Sunday, June 3, 2012 at 9:03pmIf we include the area out to x = -2, we have

v = ∫[0,6] πr^2 dy

where r = 2+x = 2+(6-y)/3 = 4-y/3

v = π∫[0,6](4-y/3)^2 dy = 56π

But we have to subtract out the interior cylinder of radius 2 and height 6, or 24π, leaving us with just 32π generated by the rotating triangle.

**Related Questions**

Volume of a solid - calculus - Find the volume of the solid generated by ...

Calculus (Solid of Revolution) - The region R is bounded by the x-axis, x = 1, x...

poly - the volume of the solid generated by revolving infinite region bounded by...

Calculus - Let R be the region bounded by the y-axis and the curves y = sin x ...

Calculus - Let R be the region bounded by the y-axis and the curves y = sin x ...

Calculus volume stuff - Find the volume of the solid obtained by rotating the ...

calculus - Find the volume of the solid generated by revolving about line x = -4...

CALCULUS MAJOR HELP!!!!!! - Find the volume of the solid obtained by rotating ...

AP Calculus - Let R be the first quadrant region enclosed by the graph of y= 2e...

calculus - Find the volume of the solid generated by revolving the region ...