# Volume of Revolution about X-axis

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 March 4, 2021, 5:47 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/volume-revolution-about-axis-11443

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

Given the ...

#### Solution Summary

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

$2.49