MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
Water is running into a conical vessel, 15 cm deep and 5 cm in radius, at the rate of 0.1 cm3/s. When the water is 6 cm deep, find the rate at which:
(a) the water level is rising.
(b) the water surface area is increasing.
(c) the wetted surface area of the vessel is increasing.