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Multivariable Calculus

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Moderate

Volume of The Cavern

MVCALC-JVLGBO

Find the volume of a cavern bounded by the cylinder $y=2\sin x$ and restricted by:

$$0\leq z \leq 2, \quad 0\leq x \leq \pi, \quad y\geq 0$$

A

$-2$

B

$4$

C

$0$

D

$8$

E

$2\pi$