The volume of a cone refers to the number of cubic units that will exactly fill a cone. The volume of a cone can be found or calculate by using the formula [tex]V= \frac{1}{3} \pi r^{2}h [/tex], where r represents the radius of the figure.
In this exercise is given that a cone has a radius of 6 centimeters and a height is 8 centimeters, and it is asked to find its volume. In order to find the volume of the given cone, you should substitute the values for the radius and height into the previous mention formula.
[tex]V= \frac{1}{3} \pi r^{2}h [/tex]
[tex]V= \frac{1}{3} \pi(6 cm)^{2}(8 cm) [/tex]
[tex]V= \frac{1}{3} \pi (36 cm^{2})(8 cm) [/tex]
[tex]V= \frac{1}{3} \pi (288 cm^{3}) [/tex]
[tex]V=96 \pi cm^{3} [/tex]
The volume of the cone is [tex]96 \pi cm^{3} [/tex].
