Question

Gravel is being dumped from a conveyor belt at a rate of 10 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 7 ft high? (Round your answer to two decimal places.)

Answer 1

The height is increasing at the rate of 0.26 ft/min

Explanation:

Explanation with steps is in the following attachment