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

question 78

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) \(3 \frac { \mathrm { cm } } { \mathrm { s } }\)

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