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Multivariable Calculus

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Moderate

Surface Area of Sphere

MVCALC-JDD0LE

Evaluate the surface area of the sphere:

$$S=\{(x,y,z): x^2+y^2+z^2=a^2\}$$

...where $a>0$ is a constant.

A

$\pi a^2$

B

$2\pi a^2$

C

$4\pi a^2$

D

$2\pi a$

E

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