A trough is 12 feet long and 3 feet across the top. Its ends are isosceles triangles with altitudes of 3 feet. a) Draw an accurate picture that models the tank. b) If water is being pumped into the trough at 2 cubic feet per minute. How fast is the water level rising when the depth of the water is 1 foot? c) If the water level is rising at a rate of 3/8 inch per minute when the water depth is 2 feet, at what rate is water being pumped into the trough.
A trough is 12 feet long and 3 feet across the top. Its ends are isosceles triangles with altitudes of 3 feet. a) Draw an accurate picture that models the tank. b) If water is being pumped into the trough at 2 cubic feet per minute. How fast is the water level rising when the depth of the water is 1 foot? c) If the water level is rising at a rate of 3/8 inch per minute when the water depth is 2 feet, at what rate is water being pumped into the trough.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 29E
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Question
A trough is 12 feet long and 3 feet across the top. Its ends are isosceles triangles with altitudes
of 3 feet.
a) Draw an accurate picture that models the tank.
b) If water is being pumped into the trough at 2 cubic feet per minute. How fast is the water
level rising when the depth of the water is 1 foot?
c) If the water level is rising at a rate of 3/8 inch per minute when the water depth is 2 feet, at
what rate is water being pumped into the trough.
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