A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. ft3 min 12 ft→ 3 ft 3 ft th 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 1.5 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.5, determine the rate at which water is being pumped into the trough.

Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter14: Sheet-pile Walls
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A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.
2 ft3
min
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 1.5 feet deep?
ft/min
(b) If the water is rising at a rate of 3/8 inch per minute when h = 2.5, determine the rate at which water is being pumped into the trough.
ft3/min
Transcribed Image Text:A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. 2 ft3 min 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 1.5 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.5, determine the rate at which water is being pumped into the trough. ft3/min
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