Volume and Radius $8 \mathrm { in. } ^ { 3 } / \mathrm { min }$

question 36

Multiple Choice

Volume and radius. Suppose that air is being pumped into a spherical balloon at a rate of $8 \mathrm { in. } ^ { 3 } / \mathrm { min }$ At what rate is the radius of the balloon increasing when the radius is 3 in.?

• A) \(\frac { d r } { d t } = \frac { 8 } { 9 \pi }\)
• B) \(\frac { d r } { d t } = \frac { 2 } { 3 \pi }\)
• C) \(\frac { d r } { d t } = \frac { 9 } { 8 \pi }\)
• D) \(\frac { d r } { d t } = \frac { 3 } { 8 \pi }\)
• E) \(\frac { d r } { d t } = \frac { 2 } { 9 \pi }\)

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