Francisco P. answered • 10/12/14
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This is a related-rates problem.
Assume that the shape of the snowball is a sphere: S = 4πr2
dS/dt = 8πr dr/dt by the chain rule.
When the diameter is 10, the radius is 5 and dS/dt = -1.
-1 = 8π(5) dr/dt
dr/dt = -1/40π
Since the diameter is twice the radius, the rate of decrease is twice this: -1/20π cm/min
Francisco P.
Since d = 2r, the rate of decrease of the diameter is twice that of the radius. 2(-1/40) = -2/40 = -1/20
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10/12/14
Brandon F.
10/12/14