Differential Calculus

A water trough is 10 m long and a cross section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If trough is being filled with water at the rate of 0.2 m^3/min how fast is the water level rising when the water is 30 cm deep?

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  1. dV/dt = surface area of water * dh/dt

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