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Multivariable Calculus

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Moderate

Volume of Ball

MVCALC-GYJDNG

Evaluate the volume $V$ of three dimensional ball with radius $r$ by setting up a triple integral.

A

$V=\int_0^r \int_0^r \int_0^r dx dy dz$

B

$V=\int_{-r}^r \int_{-r}^r \int_{-r}^r dx dy dz$

C

$V=\int_0^r \int_0^{2\pi} \int_0^{\pi} \rho^2 \sin\varphi d\theta d\varphi d\rho$

D

$V=\int_0^r \int_0^{\pi} \int_0^{2\pi} \rho^2 \sin\varphi d\theta d\varphi d\rho$

E

None of the above