The Radius R of a Sphere Is Increasing at a Rate

question 64

Multiple Choice

The radius r of a sphere is increasing at a rate of inches per minute. Find the rate of change of the volume when $r = 11 \text { inches. }$

• A) \(\frac { d V } { d t } = 3630 \pi \mathrm { in } ^ { 3 } / \mathrm { min }\)
• B) \(\frac { d V } { d t } = 1452 \pi \mathrm { in } ^ { 3 } / \mathrm { min }\)
• C) \(\frac { d V } { d t } = 2904 \pi \mathrm { in } ^ { 3 } / \mathrm { min }\)
• D) \(\frac { d V } { d t } = \frac { 1 } { 1452 \pi } \mathrm { in } ^ { 3 } / \mathrm { min }\)
• E) \(\frac { d V } { d t } = \frac { 1 } { 2904 \pi } \mathrm { in } ^ { 3 } / \mathrm { min }\)

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