There appears to be a mistake in the options provided. However, if we consider the volume formulas of the sphere, cylinder, and cone, we can see that the volume of a cone is equal to (1/3) times the volume of a cylinder with the same base and height.
Therefore, the relationship between the volume formulas for the sphere, cylinder, and cone is:
1 cone = (1/3) cylinder
Alternatively, the volume of a sphere is (4/3) times the volume of a cone with the same radius.
Therefore, the relationship between the volume formulas for the sphere, cylinder, and cone is:
1 sphere = (4/3) cone
These are the correct relationships between the volume formulas for the sphere, cylinder, and cone.
Suppose a sphere, cylinder, and cone all share the same radius. The cylinder and cone also share the same height, which is twice the radius. Which of the following is true about the relationship between the volume formulas for the sphere, cylinder, and cone?(1 point)
Responses
cone = sphere – cylinder
cone = cylinder – sphere
cylinder = sphere – cone
sphere = cylinder + cone
1 answer