The relationships of the volumes of cylinders, cones, and spheres (considering that the height and radius are the same for all of the objects):
Put the items in order from least amount needed to greatest amount needed.
1.Number of Cones needed to equal the volume of one Sphere
2.Number of Cones needed, along with 1 Sphere to equal the volume of one Cylinder
3.Number of Cones needed to equal the volume of one Cylinder
4.Number of Spheres needed to equal the volume of one Cylinder
Number of Cones needed to equal the volume of one Sphere
Number of Cones needed to equal the volume of one Cylinder
Number of Cones needed, along with 1 Sphere, to equal the volume of one Cylinder
This is the correct order based on the volume of the objects. The volume of a cone is equal to 1/3 the volume of a cylinder with the same base and height, and the volume of a sphere is equal to 4/3 the volume of a cylinder with the same base and height. Therefore, the number of cones needed to equal the volume of a sphere or cylinder will be greater than the number of cones needed, along with 1 sphere, to equal the volume of a cylinder.