A right circular conical tank has a height of 9 m and a top radius of 3 m
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A right circular conical tank has a height of 9 m and a top radius of 3 m. When the depth of the water is 6 m, the volume of water in the tank is decreasing at a rate of 2 m3/min. Assuming the water surface always forms a cone similar to the tank, determine the instantaneous rate at which the water depth is changing (in m/min) at that moment.