# Surface of the area of revolution

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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.

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#### Solution Summary

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

$2.49