# Volume of Hyperboloid of One Sheet

Calculus Level 5

$\large \dfrac{x^2}{64}+\dfrac{y^2}{81}-\dfrac{z^2}{100}=1$

If the volume $$V$$ of the hyperboloid (bound by $$0\leq z\leq 1$$) of one sheet described above can be expressed as $$V=\dfrac{A\pi }{B}$$, where $$A$$ and $$B$$ are coprime positive integers, find $$A+B$$.

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