The Radius R of a Sphere Is Increasing at a Rate

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) $\frac { d V } { d t } = \frac { 1 } { 2904 \pi } \mathrm { in } ^ { 3 } / \mathrm { min }$