Let R be the region bounded by the curves

y=2x and x=4y-y^2

rotated around the x-axis

how do i set up the formula?

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- Jun 6th 2008, 08:05 PMkhuezyvolume problem
Let R be the region bounded by the curves

y=2x and x=4y-y^2

rotated around the x-axis

how do i set up the formula? - Jun 6th 2008, 08:46 PMJhevon
Did you draw a diagram?

Use the Shell Method here.

The required volume is given by:

$\displaystyle V = 2 \pi \int_0^{7/2} y \left( 4y - y^2 - \frac y2 \right)~dy$

Any questions? - Jun 6th 2008, 09:58 PMkhuezyhow
do i find the bound? how did you get 7/2

- Jun 6th 2008, 10:05 PMIsomorphism