Exploring Volume Relationships: Cone vs. Cylinder

What is the relationship between the volume of a cone and a cylinder with the same dimensions?

• The volume of a cone is twice that of a cylinder.

• The volume of a cone is 1/2 that of a cylinder.

• The volume of a cone is equal to that of a cylinder.

• The volume of a cone is 1/3 that of a cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How is the volume of a cylinder calculated?

• 1/3 times PI times radius squared times height

• PI times radius times height squared

• 2 times PI times radius times height

• PI times radius squared times height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula to calculate the volume of a cone?

• PI times radius times height squared

• 1/3 times PI times radius squared times height

• PI times radius squared times height

• 2/3 times PI times radius squared times height

Tags

CCSS.3.MD.A.2

How many cones of water does it take to fill an equal-sized cylinder?

• Two cones

• Four cones

• One cone

• Three cones

Tags

CCSS.3.MD.A.2

Which method was used to visually demonstrate the volume comparison?

• Filling a cylinder with water from cones

• Measuring with a ruler

• Using computer simulations

• Calculating with a calculator

Tags

CCSS.3.MD.A.2