Calculus problem?

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A trough is 16 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 13 ft^3/min, how fast is the water level rising when the water is 9 inches deep?

2007-10-14 08:52:46 · 1 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

1 answers

This is a related rates question.

Express the area of the cross-section and hence the volume of water as a function of the height of the water. Then differentiate both sides with respect to time, plug in the known values of 13 cubic feet/second on one side and 9 inches on the other, and the answer will fall out.

2007-10-14 13:05:36 · answer #1 · answered by Curt Monash 7 · 0⤊ 0⤋