The video tutorial demonstrates a comparison between the volumes of cylinders and cones. Using popcorn kernels, the instructor shows that a cylinder with the same height and base area as a cone can fill exactly three cones. This leads to the derivation of the formula for the volume of a cone as one-third of the volume of a cylinder. The video concludes with a thank you to student volunteers.

What was used to compare the volumes of the cylinder and the cone?

• Water

• Popcorn kernels

• Sand

• Marbles

Tags

CCSS.3.MD.A.2

What characteristic was the same for both the cylinder and the cone?

• Weight

• Color

• Volume

• Height and diameter of the base

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Why was it important that the height and the size of the base circle were the same for both the cylinder and the cone?

• To ensure accurate volume comparison

• To make the experiment more visually appealing

• Because different sizes would not fit together

• To use less popcorn kernels

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What was the purpose of using popcorn kernels in the experiment?

• As a measurable substance to compare volumes

• To eat after the experiment

• To make the experiment fun

• Because popcorn is lighter than water

Tags

CCSS.3.MD.A.2

How many cones were filled with popcorn from the cylinder?

• Five

• Four

• Three

• Two

Tags

CCSS.3.MD.A.2

What does the experiment demonstrate about the volume of the cylinder compared to the cone?

• The cylinder has three times the volume of the cone.

• The cylinder has twice the volume of the cone.

• The cylinder and cone have the same volume.

• The cylinder has half the volume of the cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a cylinder?

• 2π * r^2 * h

• 1/3 * π * r^2 * h

• π * r * h

• π * r^2 * h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

After filling how many cones did the cylinder still have popcorn left?

• After four cones

• After one cone

• After two cones

• It was empty after three cones

Tags

CCSS.3.MD.A.2

What does the experiment suggest about the relationship between the volumes of cylinders and cones?

• Cones hold more volume than cylinders.

• Cylinders hold more volume than cones.

• The volume cannot be compared.

• Cylinders and cones hold the same volume.

Tags

CCSS.5.MD.C.5C

Based on the experiment, what is the formula for the volume of a cone?

• π * r^3 * h

• 1/3 * π * r^2 * h

• 1/3 * π * r * h

• π * r^2 * h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3