A rather flimsy spherical balloon is designed to pop at the instant its radius has reached 5 cm. Assuming the balloon is filled with helium at a rate of 5 cm 3 /s, calculate how fast the diameter is growing at the instant it pops. The volume of a sphere of radius r is .
A)0.016 cm/s
B)0.127 cm/s
C)0.212 cm/s
D)0.159 cm/s
E)0.032 cm/s

Question

A rather flimsy spherical balloon is designed to pop at the instant its radius has reached 5 cm. Assuming the balloon is filled with helium at a rate of 5 cm 3 /s, calculate how fast the diameter is growing at the instant it pops. The volume of a sphere of radius r is  .
A)0.016 cm/s 
B)0.127 cm/s 
C)0.212 cm/s 
D)0.159 cm/s 
E)0.032 cm/s

Quizplus · Accepted Answer

The Answer of A rather flimsy spherical balloon is designed to pop at the instant its radius has reached 5 cm. Assuming the balloon is filled with helium at a rate of 5 cm 3 /s, calculate how fast the diameter is growing at the instant it pops. The volume of a sphere of radius r is  .
A)0.016 cm/s 
B)0.127 cm/s 
C)0.212 cm/s 
D)0.159 cm/s 
E)0.032 cm/s

A Rather Flimsy Spherical Balloon Is Designed to Pop at the Instant