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]
