Hello, togo!

A cone 4 m high, base diameter of 6 m.

Water is entering at 3 m^3 per minute

When water is at a height of 3 m, what is the rate of rise?

I assume it is an inverted cone.

The volume of a cone is: . .[1]Code:3 - *-------+-------* : \ | / : \-----+-----/ : \ | r / 4 \ | / : \ |h / : \ | / : \|/ - *

From similar triangles we have: .

Substitute into [1]: .

Differentiate with respect to time: .

We are given: .

Therefore: .