As we saw with cylinders, the volume of a cone depends on the radius of the base and the height :

If we know the radius and height, we can find the volume. If we know the volume and one of the dimensions (either radius or height), we can find the other dimension.

For example, imagine a cone with a volume of  cm³, a height of 3 cm, and an unknown radius . From the volume formula, we know:

Looking at the structure of the equation, we can see that , so the radius must be 8 cm.

Now imagine a different cone with a volume of  cm³, a radius of 3 cm, and an unknown height . Using the formula for the volume of the cone, we know:

So, the height must be 6 cm. Can you see why?