Oil is pumped into an upright cylindrical tank of radius at

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Oil is pumped into an upright cylindrical tank of radius 3 m3\,\text{m} at 5 m3/min5\,\text{m}^3/\text{min}. When the oil depth is 2 m2\,\text{m}, how fast is the depth increasing (in m/min\text{m}/\text{min})?

Related theory

Browse the problem library