Question

What is the relationship between the volume of the sphere, and the cylinder, and the cone:

a. How many cones in a cylinder? _______
b. How much of a cylinder does a sphere take up? ________
c. What two shapes together make one cylinder? ________ and ________

Answer 1

The relationship between the volume of a sphere, cylinder, and cone is that a cone can fit inside a cylinder, a sphere can fit inside a cylinder, and a cylinder is made up of a circle and a rectangle.

Step-by-step explanation:

a. The relationship between a cone and a cylinder is that a cone can fit inside a cylinder. The volume of a cone is one-third the volume of a cylinder with the same height and base area. Therefore, the number of cones that can fit inside a cylinder depends on the size of the cones and the cylinder.

b. The relationship between a sphere and a cylinder is that a sphere can fit inside a cylinder. The volume of a sphere is two-thirds the volume of a cylinder with the same height and base area. Therefore, the amount of a cylinder that a sphere takes up depends on the size of the sphere and the cylinder.

c. A cylinder is made up of two shapes: a circle and a rectangle. The circle forms the base of the cylinder, and the rectangle forms the lateral surface, or the curved part of the cylinder.