[tex]\begin{gathered} \text{the volume of a cone is} \\ V=\frac{1}{3}\pi r^2h, \\ \text{ where r is the radius of the base, and h the height of the cone. (the radius is half of the diameter)} \\ \\ V=\frac{1}{3}\pi(5)^2(7) \\ V=\frac{1}{3}\pi(175) \\ V=183.2595 \\ \\ \text{The approximate volume is 183 cm}^3 \end{gathered}[/tex]
[tex]\begin{gathered} \text{the volume of a cone is} \\ V=\frac{1}{3}\pi r^2h, \\ \text{ where r is the radius of the base, and h the height of the cone. (the radius is half of the diameter)} \\ \\ V=\frac{1}{3}\pi(5)^2(7) \\ V=\frac{1}{3}\pi(175) \\ V=183.2595 \\ \\ \text{The approximate volume is 183 cm}^3 \end{gathered}[/tex]