Volume of Cones/Cylinders/Spheres

By waving his hand over the 3 objects, the person is ...

• saying hello to his audience.

• not doing anything special. There is no reason behind his motion.

• showing that the 3 objects have the same height.

What is the name of the object the person just presented?

• circumference

• circle

• cylinder

• cone

What is the name of the 2nd object the person demonstrated?

• cylinder

• circle

• cone

• sphere

How many cones did it take to fill up the cylinder?

• 3

• 4

• 2

• 1

This visual representation demonstrates ... (choose all that apply)

• that the volume of a cone is 1/3 the volume of a cylinder, when the cone and cylinder have the same height.

• that it takes 3 cones to fill up a cylinder, when the cone and cylinder have the same height.

• that the volume of a cylinder is 3 times the volume of a cone, when the cone and cylinder have the same height

What is the name of this object?

• cone

• sphere

• cylinder

• circle

How much of the cylinder did the sphere fill up?

• 1/3

• 3/3

• 2/3

Select all true statements below. (For all statements, assume that the height of the objects are equal).

• You need 3 cones to fill up the volume of a cylinder.

• A cylinder holds the same amount of water as 3 cones.

• A cylinder holds the same amount of water as a sphere and a cone together.

• A cylinder holds the same amount of water as 2 spheres.