We have that the volume of the cylinder with height h and area of the base A is:
[tex]V_c=A\cdot h[/tex]
we know that the volume of the cone is one third of the volume of the cylinder, if their height and area are the same. Then, in this case we have the following:
[tex]V_{\text{cone}}=\frac{1}{3}V_c_{}[/tex]
