Volume!

Calculus Level 4

Find the volume of the solid obtained by rotating the graph of y = 2 a 2 + x 2 y=2\sqrt{a^2+x^2} about the x axis, for 0 x a 0\leq x \leq a . (Your answer will be given in terms of a).

Then Find the volume for a = 3 a=3 . If your answer is V π . V\pi.

Input V V


The answer is 144.

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