A water trough is 9 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If thetrough is being filled with water at the rate of 0.1 m5/min how fast is the water level rising when the water is 40 cm deep?m/min

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Asked Oct 24, 2019
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A water trough is 9 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the
trough is being filled with water at the rate of 0.1 m5/min how fast is the water level rising when the water is 40 cm deep?
m/min
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A water trough is 9 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m5/min how fast is the water level rising when the water is 40 cm deep? m/min

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Expert Answer

Step 1

Consider the given information about water trough:

Length of water trough ()=9m
Rate of rise of water (R) 0.1-
min
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Length of water trough ()=9m Rate of rise of water (R) 0.1- min

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Step 2

Since the cross-section of this water trough is trapezium, therefore,

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Step 3

Also, consider the given informa...

x 100cm
y = 40cm
h 60cm
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x 100cm y = 40cm h 60cm

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Math

Calculus