A Spherical Balloon Is Inflated with Gas at the Rate $\frac { d r } { d t } = \frac { 3 } { 98 \pi } \mathrm { cm } / \mathrm { min }$

Multiple Choice

A spherical balloon is inflated with gas at the rate of cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is centimeters?

A) $\frac { d r } { d t } = \frac { 3 } { 98 \pi } \mathrm { cm } / \mathrm { min }$
B) $\frac { d r } { d t } = \frac { 1 } { 98 \pi } \mathrm { cm } / \mathrm { min }$
C) $\frac { d r } { d t } = \frac { 3 } { 196 \pi } \mathrm { cm } / \mathrm { min }$
D) $\frac { d r } { d t } = 98 \pi \mathrm { cm } / \mathrm { min }$
E) $\frac { d r } { d t } = 196 \pi \mathrm { cm } / \mathrm { min }$