Worksheet 3.8 Related Rates - Calculus Maximus Page 6
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7Calculus Maximus
WS 3.8: Related Rates
8 feet
9. (1995 AB5) As shown in the figure below, water is draining from a conical tank
with height 12 feet and diameter 8 feet into a cylindrical tank that has a base with
square feet. The depth h, in feet, of the water in the conical tank is
area 400
12 feet
h
changing at the rate of
12
feet per minute.
(a) Write an expression for the volume of water in the conical tank as a function
of h.
h ? Indicate units of
(b) At what rate is the volume of water in the conical tank changing when
3
measure.
h ?
(c) Let y be the depth, in feet, of water in the cylindrical tank. At what rate is y changing when
3
Indicate units of measure.
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