The Relationship of the Volume of Cones and Cylinders

If a cylinder and cone have the same radius and height and the volume of the cylinder is 72, what is the volume of the cone?

• 27

• 216

• 24

• 72

Tags

CCSS.3.MD.A.2

If a cylinder and cone have the same radius and height and the volume of the cone has a volume of 16, what is the volume of the cylinder?

• 5.33

• 48

• 50.24

• 256

Tags

CCSS.3.MD.A.2

The formula for the volume of a cone is

• V = Bh

• V = 1/3Bh

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The formula for the volume of a cylinder is

• V = Bh

• V = 1/3Bh

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a cylinder and cone have the same radius and height and you know the volume of the cylinder, to find the volume of the cone you...

• Multiply by 3

• Divide by 3

• Add 3

• Subtract 3

Tags

CCSS.3.MD.A.2

If a cylinder and cone have the same radius and height and you know the volume of the cone, to find the volume of the cylinder, you...

• Subtract 3

• Add 3

• Divide by 3

• Multiply by 3

Tags

CCSS.5.MD.C.5C

Your office is switching from a cylindrical water cup to a cup shaped like a cone. If the cylindrical cup holds 12 ounces of water, how much will the cone shaped cup with the same diameter and height hold?

• 36 ounces

• 24 ounces

• 3 ounces

• 4 ounces

Tags

CCSS.3.MD.A.2

You have a can of oil that holds 32 ounces of oil. If you have a cone shaped funnel with the same radius and height, how many times can you fill the funnel?

• 3

• 6

• 1

• 0

Tags

CCSS.3.MD.A.2

You have a cone shaped bag of popcorn with a radius of 3 inches and a height of 12 inches. How many of these bags would be needed to fill a cylindrical container with the same radius and height?

• 1

• 2

• 3

• 4

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3