Problem 26E

26. A trough is $10 \mathrm{ft}$ long and its ends have the shape of isosceles triangles that are $3 \mathrm{ft}$ across at the top and have a height of $1 \mathrm{ft}$. If the trough is being filled with water at a rate of $12 \mathrm{ft}^{3} / \mathrm{min}$, how fast is the water level rising when the water is 6 inches deep?

 

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