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A trough is 12 meters long and 3 meters across the top (see figure). Its ends are isosceles triangles with altitudes of 3 meters. 2 m3 min 12 m 3 m 3 m (a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when h is 1.5 meters deep? m/min (b) If the water is rising at a rate of 2.5 centimeters per minute when h = 2.5, determine the rate at which water is being pumped into the trough. m3/min

A trough is 12 meters long and 3 meters across the top (see figure). Its ends are isosceles triangles with altitudes of 3 meters. 2 m3 min 12 m 3 m 3 m (a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when h is 1.5 meters deep? m/min (b) If the water is rising at a rate of 2.5 centimeters per minute when h = 2.5, determine the rate at which water is being pumped into the trough. m3/min

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...
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A trough is 12 meters long and 3 meters across the top (see figure). Its ends are isosceles triangles with altitudes of 3 meters. 2 m3 min 12 m 3 m 3 m (a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when h is 1.5 meters deep? m/min (b) If the water is rising at a rate of 2.5 centimeters per minute when h = 2.5, determine the rate at which water is being pumped into the trough. m3/min Submit Answer
Transcribed Image Text:A trough is 12 meters long and 3 meters across the top (see figure). Its ends are isosceles triangles with altitudes of 3 meters. 2 m3 min 12 m 3 m 3 m (a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when h is 1.5 meters deep? m/min (b) If the water is rising at a rate of 2.5 centimeters per minute when h = 2.5, determine the rate at which water is being pumped into the trough. m3/min Submit Answer
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