Comparing Volume of Cones and Cylinders

Which formula can you use to find the volume of the cylinder not taken up by the cone?

The height of the cylinder is equivalent to the height of the joined cones.  The area of the bases of the cones and cylinder are congruent. The volume of the cylinder is ​ (a)   the volume of the joined cones

• 3 times

• 1/3 of

• 6 times

• 1/6 of

• twice

• 1/2 of

• twice

How is the volume of the cone related to the volume of the cylinder?

• The cone has the same volume as the cylinder

• The cone is 3 times the volume of the cylinder

• The cone is 1/3 the volume of the cylinder

• There is no way to determine

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

• a

• b

• c

• d

Walmart offers popcorn in a cone that cost $20 and a cylinder that cost $40. Which one is the better deal? (hint: Find the volume of each first!)

• Cylinder is a better deal

• Cone is a better deal

Snacks at a county fair are sold in containers shaped like a cone or a cylinder. The dimensions of each container are shown in the drawing. Which statement about the volumes of the cone and cylinder is true?

• The volume of the cylinder is about 377 cubic inches greater than the volume of the cone.

• The volume of the cylinder is about 377 cubic inches less than the volume of the cone.

• The volume of the cylinder is about 25 cubic inches greater than the volume of the cone.

• The volume of the cylinder is about 25 cubic inches less than the volume of the cone.

Snacks at a county fair are sold in containers shaped like a cone or cylinder. The dimensions of each container are shown in the drawing. Which statement about the volumes of the cone and the cylinder is true?

• The volume of the cylinder is about 377 cubic inches greater than the volume of the cone.

• The volume of the cylinder is about 377 cubic inches less than the volume of the cone.

• The volume of the cylinder is about 25 cubic inches greater than the volume of the cone.

• The volume of the cylinder is about 25 cubic inches less than the volume of the cone.

Which statement is true?

• A

• B

• C

• D

If the cylinder has a volume of 12, what would the volume be of its coney cousin?

• 8

• 4

• 12

• 6