Answer:
The Volume of a Sphere is equal to 2 times the volume of a cone.
Step-by-step explanation:
The volume of a sphere: 4/3 π r^3
The volume of a cone: 1/3 π r^2 h
r is the radius
h is the height
In this case, the height can be replaced by the 2r or the diameter, since it would correspond exactly to the height of the sphere of radius r.
So then,
sphere and cone
4/3 π r^3 1/3 π r^2 h
1/3 π r^2 * 2r
2/3 π r^3
Ratio sphere : cone
4/3: 2/3
2:1
Therefore the volume of the sphere is twice that of the cone or equal to twice the volume of the cone
