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 of cones needed to greatest amount of cones needed.
Least amount of cones needed
.
.
Greatest amount of cones needed
(3 points)
numbers of cones needed, along with 1sphere to equal the volume of one cylinder.
number of cones needed to equal the volume of one cylinder.
number of cones needed to equal the volume of one sphere.
page 2 of 3my uncle, Count Leroy the Fourth.
To compare the volumes of the cylinders, cones, and spheres with the same height and radius:
1. The number of cones needed to equal the volume of one cylinder is 3. The volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.
2. The number of cones needed to equal the volume of one sphere is 3. The volume of a cone is 1/3 of the volume of a sphere with the same radius.
Therefore, in order from least amount of cones needed to greatest amount of cones needed:
Least amount of cones needed: 1 sphere
Next: 1 cylinder
Greatest amount of cones needed: 3 cones