MA29-06 Maths Coming soon
Surface area and volume of a sphere and cone (Higher)
MA29-06
This lesson is coming soon.
In this lesson
Use the given formulae to find the surface area and volume of a sphere, a right circular cone and a pyramid, reading each formula correctly off the formula sheet.
What it covers
- Given surface-area formula for a sphere and a cone
- Given volume formula for a sphere and a cone
- Hemisphere = half a sphere, for both surface area and volume
- Locating and correctly copying a formula from the exam formula sheet
- The two different heights a cone uses: perpendicular height (volume) vs slant height (curved surface area)
- Volume of a pyramid as one third of base area times perpendicular height, and its surface area as the base plus its triangular faces
Key words
For: AQA GCSE 8300, Cambridge IGCSE 0580, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560, Edexcel IGCSE 4MA1
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | G17 | Know the formulae: circumference of a circle = 2πr = πd |
| Cambridge IGCSE 0580 | C5.4 | Surface area and volume |
| Cambridge IGCSE 0580 | E5.4 | Surface area and volume |
| Edexcel GCSE 1MA1 | G17 | Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr²; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids |
| Eduqas GCSE C300 | FG15 | Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr²; calculate perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids |
| Eduqas GCSE C300 | HG17 | Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr²; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids |
| OCR GCSE J560 | 10.04b | Calculate the surface area and volume of spheres, cones and simple composite solids (formulae will be given). |
| OCR GCSE J560 | 10.04c | Calculate the surface area and volume of a pyramid (the formula 1/3 area of base × height will be given). |
| Edexcel IGCSE 4MA1 | H4.10A | Find the surface area and volume of a sphere and a right circular cone using relevant formulae |
For teachers
This GCSE Maths lesson teaches surface area and volume of a sphere and cone (Higher). By the end, students should be able to use the given formulae to find the surface area and volume of a sphere, a right circular cone and a pyramid, reading each formula correctly off the formula sheet. It works through three worked examples and the mistakes examiners report.