Express the volume $\"\"$ of the water in the cone as a function of the height $\"\"$ of the water.

Radius of the cone $\"\"$ .

Height of the cone $\"\"$ .

Fomula for the volume of the cone $\"\"$ .

Observe the figure :

The traingle with base $\"\"$ and height $\"\"$ is similar to the traingle with base $\"\"$ and height $\"\"$ .

Set up the proportion:

$\"\"$

Solve for $\"\"$ .

$\"\"$

$\"\"$ .

The volume of the water in the cone is $\"\"$ .