Answer:
Volume = 4/3 π r^3.
Step-by-step explanation:
The formula for the volume of the cone is:
V = 1/3 π r^2 h where r = the radius of the base and h = the height.
Now h = 2d where d is the diameter.
Diameter d = 2r so h = 2(2r) = 4r.
So, substituting for h in the formula for V:
V = 1/3 π r^2 (4r)
= 1/3 π 4r^3
= 4/3 π r^3.
