What is the volume of the cone with diameter 7 in. and height 9 in.? Round to the nearest cubic inch.

Answer: [tex]115in^3[/tex]Step-by-step explanation: The volume of a cone can be calculated with the following formula: [tex]V_{(cone)}=\frac{1}{3}\pi r^2h[/tex] Where "r" is the radius and "h" is the height. The radius is half the diameter, then "r" is: [tex]r=\frac{7in}{2}\\\\r=3.5in[/tex] Since we know that radius and the height, we can substitute them into the formula. The volume of the cone  to the nearest cubic inch is:  [tex]V_{(cone)}=\frac{1}{3}\pi (3.5in)^2(9in)[/tex]  [tex]V_{(cone)}=115in^3[/tex]