# Area of a surface of revolution

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NOTE: we are supposed to use the definition of the Area of a Surface of Revolution to solve this problem. I have attached this formula 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.

https://brainmass.com/math/calculus-and-analysis/area-of-a-surface-of-revolution-4908

#### Solution Summary

The area of a surface of revolution is calculated using integrals. The solution is detailed and well presented.

$2.49