# Surface of the area of revolution

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

We are supposed to use the definition of the Area of a Surface of Revolution to solve this problem.

I have attached this formula and the answers I received in a word document.

The problem:

Given: y = -x^2 + 4x defined on the closed domain [0,4] Revolve the graph about the x-axis. Find the area of the surface obtained.

Thanks.

Â© BrainMass Inc. brainmass.com December 15, 2022, 3:58 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/surface-area-revolution-4923

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

Hi ...

#### Solution Summary

The surface of the area of revolution is calculated. The surface obtained for closed domain are given.

$2.49