# I need help with this cal 1 related rates question?

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Gravel is being dumped from a conveyor belt at a rate of 20 ft^3/min. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 19 ft high?

Gravel is being dumped from a conveyor belt at a rate of 20 ft^3/min. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 19 ft high?

##### 1 Answer

Nov 11, 2016

#### Explanation:

We know

So

Differentiating over t

We know

So