Cylinders, Cones and Spheres: Calculating the volume of a cone

The video tutorial explains the volume of a cone, emphasizing the need to memorize the formula 1/3 π r² h. It compares the cone to a cylinder, highlighting the 1/3 factor that differentiates them. The tutorial includes examples of calculating volumes for both a cylinder and a cone, demonstrating the application of the formula with specific dimensions.

What is the formula for the volume of a cone?

• 1/2 π r² h

• 1/3 π r² h

• 2/3 π r² h

• π r² h

Why is the factor of 1/3 used in the formula for the volume of a cone?

• To differentiate it from a cylinder

• To adjust for the circular base

• To simplify the calculation

• To account for the height of the cone

In the example calculation, what is the radius of the cone?

• 5 meters

• 6 meters

• 4 meters

• 3 meters

What is the final volume calculated for the cone with a radius of 4 meters and height of 6 meters?

• 75.36 cubic meters

• 50.24 cubic meters

• 100.48 cubic meters

• 125.60 cubic meters

In the second example, what is the height of the cone?

• 10 inches

• 9 inches

• 12 inches

• 11 inches