Cone Volume and Geometry Concepts

This video tutorial focuses on calculating the volume of a cone. It begins by defining the cone's dimensions, specifically the radius and height. The formula for the volume of a cone, which is one-third of pi times the radius squared times the height, is explained. The tutorial then walks through the calculation steps, resulting in a volume of 768 pi cubic inches. Additionally, the decimal equivalent of the volume is provided as 2412.7 cubic inches.

What are the given dimensions of the cone in the lesson?

• Radius: 11 inches, Height: 17 inches

• Radius: 14 inches, Height: 18 inches

• Radius: 12 inches, Height: 16 inches

• Radius: 10 inches, Height: 15 inches

Which formula is used to calculate the volume of a cone?

• 1/3 * pi * r^2 * h

• 2/3 * pi * r^2 * h

• pi * r^2 * h

• 1/2 * pi * r^2 * h

What is the result of 12 squared?

• 144

• 120

• 156

• 132

What is the volume of the cone in terms of pi?

• 768 pi cubic inches

• 750 pi cubic inches

• 700 pi cubic inches

• 800 pi cubic inches

What is the decimal approximation of the cone's volume?

• 2412.7 cubic inches

• 2400.5 cubic inches

• 2430.1 cubic inches

• 2420.3 cubic inches