A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. . 12 ft→^ 3 ft 3 ft (a) If water is being pumped Into the trough at 2 cubic feet per minute, how fast is the water level rising when h is 1.0 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being pumped into the trough. ft3/min

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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A trough is 12 feet long and 3 feet across the top (see figure). Its ends are Isosceles trlangles with altitudes of 3 feet.
2 ft
min
12 ft
3 ft
3 ft
(a) If water is belng pumped Into the trough at 2 cublc feet per minute, how fast Is the water level rising when h is 1.0 feet
deep?
ft/min
(b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being pumped into
the trough.
ft/min
Transcribed Image Text:A trough is 12 feet long and 3 feet across the top (see figure). Its ends are Isosceles trlangles with altitudes of 3 feet. 2 ft min 12 ft 3 ft 3 ft (a) If water is belng pumped Into the trough at 2 cublc feet per minute, how fast Is the water level rising when h is 1.0 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being pumped into the trough. ft/min
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