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Single Variable Calculus

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Related Rates in Spheres

SVCALC-ESTEP8

A spherical snowball with a radius of 24 cm begins to melt. The radius decreases steadily at 1cm/min.

At what rate is the volume decreasing when the snowball is half as wide?

A

$-12\pi$ cm$^3$/min

B

$-144\pi^2$ cm$^3$/min

C

$-144\pi$ cm$^3$/min

D

$-576\pi$ cm$^3$/min