(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 1.7 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

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...
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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 1.7 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 1.7 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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