# Volume of Revolution about X-axis

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Given the region bounded by y=x^2 and y=-4x+12 and y=0 , find the volume of the solid generated by rotating this region about the x axis.

I found a volume of 477pi/5 or approx. 300, does this sound right?

Â© BrainMass Inc. brainmass.com December 24, 2021, 4:51 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/volume-revolution-about-axis-11443

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The volume of revolution about the x-axis is found.

$2.49