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

Multiple Choice

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