The Volume of Paint in a Right Cylindrical Can Is $V = 2 t ^ { 2 } - t$

Multiple Choice

The volume of paint in a right cylindrical can is given by $V = 2 t ^ { 2 } - t$ , where t is time in seconds and V is the volume in cm³. How fast is the level rising when the height is 3 cm The can has a height of 5 cm and a radius of 3 cm. [Hint: To get h as a function of t, first solve the volume $V = \pi r ^ { 2 } h$ for h.] Round your answer to the nearest whole number. ?

A) $6 \frac { \mathrm { cm } } { \mathrm { s } }$
B) $2 \frac { \mathrm { cm } } { \mathrm { s } }$
C) $4 \frac { \mathrm { cm } } { \mathrm { s } }$
D) $1 \frac { \mathrm { cm } } { \mathrm { s } }$
E) $3 \frac { \mathrm { cm } } { \mathrm { s } }$