Given data
Height of the cone = 4cm
Diameter of the cone = 8 cm
Our radius can be calculated from the diameter
Radius = Diameter / 2
Radius = 8/2
Radius = 4cm
Volume of a cone is given as
[tex]\begin{gathered} V\text{ = }\frac{1}{3}\cdot\pi\cdot r^2\cdot h \\ r\text{ = 4cm, and h = 4cm} \\ V\text{ = }\frac{1}{3}\cdot\text{ 3.14 }\cdot4^2\cdot\text{ 4} \\ V\text{ = }\frac{1\text{ x 3.14 x 16 x 4}}{3} \\ V\text{ = }\frac{200.96}{3} \\ V=66.99cm^3 \end{gathered}[/tex]