The volume of a cone uses the following formula:
[tex]V = \pi r^{2} \frac{h}{3} [/tex]
Our diameter is 20 feet, so divide this by 2 to find the radius:
[tex]20 \div 2 = 10[/tex]
We now have all of our values need to fill in the formula. Plug in these values:
[tex] \pi = 3.14, r = 10, h = 17[/tex]
[tex]3.14 * 10^{2} * \frac{17}{3} [/tex]
[tex]3.14 * 100 * 5.67[/tex]
[tex]314 * 5.67 = 1780.38[/tex]
The volume of the cone is 1780 cubic feet.