The problem is:

An inverted cone is being filled up with water at a rate of 100cm^3/s

The cone is 60 cm high and the radius is half of the height.

At what rate is the depth increasing if the height of the water is 10cm?

The answer I got is: 1.27cm/s

Can someone tell me if I am correct?

And the height of the cone is not needed if you're given that the radius is half the height right?

Thank you