Finding the Volume of a Cone

This video tutorial teaches how to find the volume of a cone by comparing it to a cylinder. It reviews the formula for the volume of a cylinder and explains how the volume of a cone is one-third of a cylinder with the same base and height. The tutorial includes example problems to demonstrate the application of the formula for the volume of a cone.

What is the formula for calculating the volume of a cylinder?

• pi r squared divided by height

• pi r cubed

• 2 pi r times height

• pi r squared times height

How does the volume of a cone compare to the volume of a cylinder with the same base and height?

• The cone's volume is twice the cylinder's volume

• The cone's volume is equal to the cylinder's volume

• The cone's volume is one-third of the cylinder's volume

• The cone's volume is half of the cylinder's volume

What is the formula for the volume of a cone?

• 2/3 pi r squared times height

• 1/3 pi r squared times height

• 1/2 pi r squared times height

• pi r squared times height

If a cone has a radius of 15 cm and a height of 50 cm, what is its volume in terms of pi?

• 3,750 pi cubic centimeters

• 7,500 pi cubic centimeters

• 1,250 pi cubic centimeters

• 2,500 pi cubic centimeters

What is the volume of a paper cone with a radius of 2 inches and a height of 6 inches?

• 12 pi cubic inches

• 10 pi cubic inches

• 8 pi cubic inches

• 16 pi cubic inches

Why is it important to understand how the volume formula is derived?

• To memorize the formula

• To convert units

• To apply it correctly in different contexts

• To calculate surface area

What is a common misunderstanding about volume?

• Volume is a measure of space

• Volume is a measure of area

• Volume is a measure of length

• Volume is a measure of weight