A Cylindrical Bucket Is Being Filled with Paint at a Rate

Multiple Choice

A cylindrical bucket is being filled with paint at a rate of $4 \frac { \mathrm { cm } ^ { 3 } } { \min }$ . How fast is the level rising when the bucket starts to overflow The bucket has a height of 40 cm and a radius of 10 cm. Round your answer to the three decimal places.

A) $0.801 \frac { \mathrm { cm } } { \mathrm { min } }$
B) $0.407 \frac { \mathrm { cm } } { \mathrm { min } }$
C) $0.210 \frac { \mathrm { cm } } { \mathrm { min } }$
D) $0.013 \frac { \mathrm { cm } } { \mathrm { min } }$
E) $0.998 \frac { \mathrm { cm } } { \mathrm { min } }$