A conical flask is full of water. The flask has a base radius 'r' and height 'h'. The water is poured into a cylindrical flask of base radius 'mr'. Find the height of water in the cylindrical flask.

The volume of a conical flask is , where r is the base radius and h is the height of the conical flask.

The water is poured in to a cylindrical flask.

Therefore volume of the conical flask is equal to the volume of the cylindrical flask with a base radius of 'mr'

We need to find the height of the cylindrical flask.

Let H be the height of the cylindrical flask.

The volume of the cylindrical flask is

Equate both the volumes, we have

Thus, the height of the cylindrical flask is

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