A circular cone container is in the shape of a right circular cone, as shown in the
figure to the right. The height of the container is 30 feet and the diameter of the
pening is 30 feet as well. Liquid in the container is evaporating so that the
depth (h) is changing at a constant rate offt/hr.
a) Find the volume (V) of the liquid in the container when h = 15 ft.
b) Find the rate that the volume of the liquid in the container is changing,
with respect to time, when h = 15 ft.
c) Show that the rate of change of the volume of liquid in the container
due to evaporation is directly proportional to the exposed surface area
of the liquid. What is the constant of proportionality?
30 ft
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30ft.
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