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## Homework Statement

Find the area of the surface generated when you rotate the parabola y=x

^{2}0 less than or equal to x less than or equal to the square root of k, around the y-axis. You should end up with a simple formula in terms of the constant k.

## Homework Equations

S=2[tex]\pi[/tex][tex]\int[/tex]yds

## The Attempt at a Solution

I suspect that the simple formula is the volume of a sphere. I got all the way to applying the fundamental theorem of calculus and so far I have 2pi[((12(square root of k)+3)/(18))^(3/2)-(1/12)]