The volume of a cone can be determined using the following formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
We know that the height of the cone is 7cm and the diameter of the circular base is 10cm. The radius is half the diameter, so, for this cone, the radius is 5cm.
The volume can be determined as follows:
[tex]\begin{gathered} V=\frac{1}{3}\pi(5^2)\cdot7 \\ V=\frac{1}{3}\pi\cdot25\cdot7 \\ V=\frac{1}{3}\pi\cdot175 \\ V=\frac{175}{3}\pi \\ V\approx183.259\operatorname{cm}^3 \end{gathered}[/tex]
The approximate volume of the cone is 183cm³
