# Volume of a Solid of Revolution (2 Problems)

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Find the volume of the solid obtained by rotating the region bounded by the given curve about the specific line.

(a) y=e^{5x}, y=0, x=0, x=1, about x -axis

(b) x=5y-y^2, x=0, about y -axis"

https://brainmass.com/math/integrals/volume-solid-revolution-problems-38987

#### Solution Preview

(a)

We have V= Pi* Int((exp(5x))^2,x=0..x=1)

It means integral of (exp(5x))^2 when x is between 0 and 1. That ...

#### Solution Summary

The Volume of a Solid of Revolution is found. The rotating region bounded by the given curves about the specific lines are determined.

$2.49