A trough is 14 ft long and its ends have

Question

A trough is 14 ft long and its ends have the shape of isosceles triangles that are 5 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 9 ft³/min, how fast is the water level rising when the water is 5 inches deep?

Answer 1

So, you should solve your answer for dh/dt, getting dh/dt = 12(9)/70(5) ft/min.

You must have ended with V = 35 h², which is correct.

This graph shows a cross section of the water level depending on h.

https://www.desmos.com/calculator/ighthwejjv

Use the slider on h to see the water level rising/falling.