Mathematical Formulae - GCSE Maths

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The following formulae will be provided for students within the relevant examination questions.

Perimeter, area, surface area and volume formulae

Where $r$ is the radius of the sphere or cone, $l$ is the slant height of a cone and $h$ is the perpendicular height of a cone:

Curved surface area of a cone

\text{Curved surface area of a cone} = \pi r l

Surface area of a sphere

\text{Surface area of a sphere} = 4\pi r^2

Volume of a sphere

\text{Volume of a sphere} = \frac{4}{3}\pi r^3

Volume of a cone

\text{Volume of a cone} = \frac{1}{3}\pi r^2 h