Explore BrainMass

# Volume of Revolution Problem

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Please see the attached file for the complete problem.

Find the volume of the solid of revolution formed by rotating the finite region bounded by the graphs of y=sin((pi)x^2)/2) and y=x^5 about the y-axis.

A. 2(5pi-7)/7 B. (7pi-5)/7 C. 2(5-pi)/7

D. (5pi+2)/7 E. 2(7-pi)/7

https://brainmass.com/math/complex-analysis/volume-revolution-problem-209503

## SOLUTION This solution is FREE courtesy of BrainMass!

Please see the attached file for detailed solution.
Thanks for using BrainMass!

4. Find the volume of the solid of revolution formed by rotating the finite region bounded by the graphs of y=sin((pi)x^2)/2) and y=x^5 about the y-axis.

I believe I am supposed to use this equation for the volume:
Vshell = 2pi*rhdx

And set it up like this:
2pi*x*(sin((pi)x^2)/2) - x^5)dx

The equation is correct.
The two curves intersect at x = 0 and x = 1.
So the volume is

A. 2(5p-7)/7 B. (7p-5)/7 C. 2(5-p)/7

D. (5p+2)/7 E. 2(7-p)/7

So E is the correct answer.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!