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Multivariable Calculus

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Moderate

Find the Flux, Across Sphere of Radius 2 Centered at Origin

MVCALC-CXGFLI

Find the flux of:

$$\vec{F}(x,y,z) = \left\langle \frac{x}{\sqrt{x^2+y^2+z^2}}, \frac{y}{\sqrt{x^2+y^2+z^2}}, \frac{z}{\sqrt{x^2+y^2+z^2}} \right\rangle$$

...across the sphere of radius 2 centered at the origin.

A

$0$

B

$2\pi$

C

$4\pi$

D

$8\pi$

E

$16\pi$