A vertical right circular cylindrical barrel with internal radius 4 ft is collecting…
MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A vertical right circular cylindrical barrel with internal radius 4 ft is collecting rainwater. At a particular instant when the water depth is 3 ft, rain is falling into the barrel at a rate of 0.6 ft3/min and water is simultaneously being used from a tap at the bottom at a rate of 0.3 ft3/min.
(a) Determine the net rate of change of the volume of water in the barrel at that instant.
(b) Find the rate at which the water level in the barrel is changing at that instant and state appropriate units.