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Multivariable Calculus

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Difficult

Volume of Steinmetz Solid

MVCALC-PXXBLJ

Evaluate the volume of the solid enclosed by two cylinders $x^2+y^2=a^2$ and $x^2+z^2=a^2$, where $a>0$ is a constant.

A

$\cfrac{4a^3}{3}$

B

$\cfrac{16a^3}{3}$

C

$4a^3$

D

$2a^3$

E

$\pi a^3$