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.

Mathematics For Machine Technology
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Chapter5: Division Of Common Fractions And Mixed Numbers
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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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