Volume of Cones and Pyramids

This video tutorial explains how to find the volumes of cones and pyramids using a common formula: one-third times the base area times the vertical height. The video details how to calculate the base area for different shapes, such as circles for cones and squares or triangles for pyramids. It provides example calculations for both cones and pyramids, demonstrating the application of the formula. The tutorial concludes with a prompt for viewers to practice with questions on the platform.

What is the common formula used to calculate the volume of both cones and pyramids?

• Length times width times height

• Pi times radius squared times height

• Base area times height

• One-third times base area times vertical height

How do you calculate the base area of a cone?

• One-third times base area

• Length times width

• Pi times radius squared

• Base times height divided by two

What is the formula for the volume of a cone?

• One-third base area times height

• Base area times height

• One-third pi r squared h

• Pi r squared h

For a square-based pyramid, how is the base area calculated?

• Pi times radius squared

• Length times width

• Length squared

• Base times height divided by two

What is the formula for the volume of a square-based pyramid?

• Pi r squared h

• One-third l squared h

• One-third base area times height

• Base area times height

If a cone has a radius of 4 cm and a height of 10 cm, what is its volume in terms of pi?

• 320/3 pi cm³

• 320 pi cm³

• 160/3 pi cm³

• 160 pi cm³

What is the volume of a cone with a radius of 4 cm and a height of 10 cm, rounded to three significant figures?

• 134 cm³

• 170 cm³

• 167 cm³

• 168 cm³

For a square-based pyramid with a base length of 8 cm and a height of 12 cm, what is the volume?

• 512 cm³

• 384 cm³

• 128 cm³

• 256 cm³

What is the base area of a square-based pyramid with a side length of 8 cm?

• 32 cm²

• 128 cm²

• 64 cm²

• 16 cm²

What should you do after watching the video to practice the concepts learned?

• Watch another video

• Try the questions on the platform

• Discuss with a friend

• Read a textbook