SOLUTION: If the radius of a sphere is increasing at the constant rate of 3 millimeters per second, how fast is the volume changing when the surface area 4πr2 is 10 square millimeters?

Question 1185753: If the radius of a sphere is increasing at the constant rate of 3 millimeters per second, how fast is the volume changing when the surface area 4πr2 is 10 square millimeters?

Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

The given information makes finding the answer easy, if you know the basic method for solving the problem.

The is given, so

ANSWER: When the surface area is 10 square millimeters, the volume is increasing at a rate of 30 cubic millimeters per second.

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