SOLUTION: Air is blown into a Spherical balloon and the rate at which the volume is increasing is 3 ft^3 per minute. Find the rate at which the radius is increasing at the instant when the r

Question 1170380: Air is blown into a Spherical balloon and the rate at which the volume is increasing is 3 ft^3 per minute. Find the rate at which the radius is increasing at the instant when the radius is 5 feet.

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Starting with the equation for the volume of a sphere:

you can relate the rate of change of volume WRT time (dV/dt) to the product (dV/dr)*(dr/dt):
... (1)

Plugging into (1) the known values:

and solving for dr/dt:
ft/min
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