SOLUTION: A spherical snowball is melting in such a way that its surface area decreases at the rate of 1 in^3/min. How fast is its radius shrinking when it is 3 inches? Answer must be in in^
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Question 1082911: A spherical snowball is melting in such a way that its surface area decreases at the rate of 1 in^3/min. How fast is its radius shrinking when it is 3 inches? Answer must be in in^3/min.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Start with the surface area of a sphere,
Differentiate with respect to time,
Substituting,
The units of the change of radius are inches per second.
The volume change is in units of cubic inches/second.
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