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Multivariable Calculus

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Moderate

Area of Stripe on a Sphere

MVCALC-EEJJRW

Let the constant $a>0$, find the area of the sphere $x^2+y^2+z^2=a^2$ between planes $z=\frac{a}{4}$ and $z=\frac{a}{2}$.

A

$a^2$

B

$\pi^2$

C

$\frac{\pi}{2} a^2$

D

$\pi a^2$

E

$\pi^2 a^2$