By definition, the volume of a cone is given by: [tex]V = (1/3)*( \pi)*(r^2)*(h)
[/tex] Where, r: radius of the circular base of the cone. h: cone height The cone radius is given by:
[tex]r = d / 2
[/tex] Where,
d: diameter of the circular base. Substituting values we have:
[tex]r = 6/2
r = 3 cm[/tex] Then, the volume will be:
[tex]V = (1/3) * (3.14) * (3 ^ 2) * (10)
V = 94.2 cm ^ 3 [/tex] Answer:
The volume of the cone is given by:
[tex]V = 94.2 cm ^ 3[/tex]