A water trough is 800 cm long and a cross-section has the shape of an isosceles...

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A water trough is 800 cm long and a cross-section has the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 90 cm wide at the top and has a height of 50 cm. If the trough is being filled with water at the rate of 18000 cm³/min, how fast (in cm/min) is the water level rising when the water is 30 cm deep? Recall that the volume of a trapezoidal prism is given by the formula V = (b₁ + b₂)hl, where b₁ and be are the lengths of the two bases of the cross- sectional trapezoid, h is the height of the cross-sectional trapezoid, and is the length of the prism. Note: Round to the nearest thousandth. A water trough is 800 cm long and a cross-section has the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 90 cm wide at the top and has a height of 50 cm. If the trough is being filled with water at the rate of 18000 cm³/min, how fast (in cm/min) is the water level rising when the water is 30 cm deep? Recall that the volume of a trapezoidal prism is given by the formula V = (b₁ + b₂)hl, where b₁ and be are the lengths of the two bases of the cross- sectional trapezoid, h is the height of the cross-sectional trapezoid, and is the length of the prism. Note: Round to the nearest thousandth.

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Solution Area of trapezoid is A 1 h ab Giuen a 40 cm V dv dt du dt So l 800 cm dv dt 3... View the full answer