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)
• sphere = cylinder + cone
• cone = cylinder - sphere
• cylinder = sphere - cone
• cone = sphere - cylinder
None of the above statements are true about the relationship between the volume formulas for the sphere, cylinder, and cone.
The correct relationship is that the volume of a sphere is equal to 2/3 times the volume of a cylinder or a cone with the same radius and height.
Therefore, the correct relationship is:
sphere = 2/3 (cylinder or cone)