The volume of a cone is given by the formula [tex]V=\frac{1}{3} \pi r^2 h[/tex], where r is the radius and h is the height. The horizontal dotted line from the center of the base circle to the outside edge would be the radius, so that would be 12 cm. The vertical dotted line from the center of the base to the point of the cone would be the height, so that would be 8 cm. We substitute these values into our formula:
[tex]V=\frac{1}{3} \pi (12^2)(8)[/tex]
Substituting 3.14 for pi we have:
[tex]V=\frac{1}{3}(3.14)(12^2)(8) = 1205.76 \text{cm}^3[/tex]
