Find the volume of the cone with a
diameter of 6 cm and a height of 12
cm in terms of . Formula: V=
1
3
r
2h
Given that the diameter of the cone is 6 cm, we can calculate the radius as half of the diameter.
Radius = 6 cm / 2 = 3 cm
Using the formula for the volume of a cone, V = 1/3 * r^2 * h, we can substitute the values:
V = 1/3 * (3 cm)^2 * 12 cm
V = 1/3 * 9 cm^2 * 12 cm
V = 1/3 * 108 cm^3
V = 36 cm^3
Therefore, the volume of the cone is 36 cm^3.