GCSE Maths - How to find the Volumes of Cones and Pyramids #113

This video tutorial explains how to calculate the volumes of cones and pyramids using similar formulas. The volume of both shapes is determined by multiplying one-third of the base area by the vertical height. For cones, the base is a circle, so the area is calculated using pi r squared. For pyramids, the base area depends on the shape of the base, such as a square or triangle. The video provides examples with specific measurements to demonstrate the calculations for both a cone and a square-based pyramid.

What is the common formula structure for calculating the volume of both cones and pyramids?

• 1/4 times base area times height

• Base area times height

• 1/2 times base area times height

• 1/3 times base area times height

How do you calculate the base area of a cone?

• Base times height divided by 2

• Length times width

• Pi times radius squared

• Side squared

Which formula would you use to find the volume of a square-based pyramid?

• Base area times height

• 1/3 l squared h

• 1/3 pi r squared h

• 1/2 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?

• 80 pi cm³

• 160/3 pi cm³

• 40/3 pi cm³

• 100 pi cm³

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

• 128 cm³

• 512 cm³

• 256 cm³

• 384 cm³