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

question 30

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

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