6. A trough is in the shape of a triangular prism. It is 5 feet long and its vertical cross sections are isosceles triangles with base 2 feet and height 3 feet. Water is being siphoned out of the trough at the rate of 2 cubic feet per minute. At any time t, let h be the depth and V be the volume of water in the trough.
a. Find the volume of the water in the trough when it is full.
b. What is the rate of change in h at the instant when the trough is ¼ full by volume?
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