What Should You Expect From This Lesson?

At the end of this lesson you will be able to: [1] Work out the surface area and volume of a pyramid/right circular cone; [2] Work out the volume of a frustum of a pyramid/right circular cone; [3] Work out the missing radius, height or slant height.

How To Carry Out This Lesson At Home:

Lesson [1] Work out the surface area and volume of a pyramid/right circular cone

Watch the following videos:
1. Demonstration of the formula for Volume of Cone – https://www.youtube.com/watch?v=xwPiA0COi8k
2. Finding the volume of a cone (not given the height) – https://www.youtube.com/watch?v=Cm1JUsSwRdI
3. Derivation of formulae for Surface Area of a right circular cone (Advanced) – https://www.youtube.com/watch?v=rd8tbD2eekM

Suggested Practice:
SMP Interact Higher, Student Book pg 250 nos D2 – D4
SMP Interact Higher, Student Book pg 251 nos D7, D8, D20
SMP Interact Higher, Student Book pg 256 no T4
The Pyramid and Cone_Worksheets Pack – Worksheet 1 and Worksheet 2 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [2] Work out the volume of a frustum of a pyramid/right circular cone

Watch the following video:
Frustum of a cone – https://www.youtube.com/watch?v=5tPMvXYPzHc

Suggested Practice:
SMP Interact Higher, Student Book pg 253 nos D23 and D24
The Pyramid and Cone_Worksheets Pack – Worksheet 3 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [3] Work out the missing radius, height or slant height

Watch the following video:
Finding the height of a cone – https://www.youtube.com/watch?v=FOmvhmVVitc

Suggested Practice:
SMP Interact Higher, Student Book pg 252 nos D18 and D19
The Pyramid and Cone_Worksheets Pack – Worksheet 4 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Acknowledgements: Mathematics Heads of Department