Question

An inverted conical water tank with a height o 6 ft and a radius of 3 ft is drained through a hole in the vertex at a rate of 6 ft3/s. What is the rate of change of the water depth when the water depth is 5 ft?(Hint: Use similar triangles.)

Step 1

Given, height of conical tank 6 ft and radius 3 ft.

Step 2

In triangle ABC and triangle ADE,

Step 3

Volume of co...

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