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A rather flimsy spherical balloon is designed to pop at the instant its radius has reached 4 centimeters. Assuming the balloon is filled with helium at a rate of 14 cubic centimeters per second, calculate how fast the radius is growing at the instant it pops. (The volume of a sphere of radius r is V= 4/3πr^3

A rather flimsy spherical balloon is designed to pop at the instant its radius has reached 4 centimeters. Assuming

the balloon is filled with helium at a rate of 14 cubic centimeters per second, calculate how fast the radius is growing at the instant it pops.  (The volume of a sphere of radius r is V= 4/3πr^3

 
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