volume & surface area and arcs & sectors formulae

IGCSE Edexcel maths

Volume of a prism

area of cross section x length

volume of a cylinder

πr² x height

curved surface area of a cylinder

2πrh

total surface area of a cylinder

2πrh + 2πr²

volume of a sphere

4/3 x πr³

total surface area of a sphere:

4πr²

volume of a hemisphere:

2/3 x πr³

curved surface area of a hemisphere:

2πr²

total surface area of a hemisphere:

3πr²

volume of a pyramid

1/3 x base area x height

volume of a cone:

1/3 x πr²h

curved surface area of a cone:

πrl

total surface area of a cone:

πrl + πr²

What is a frustum?

A cone with the top chopped off

volume of a frustum

volume of entire cone - volume of small cone

How do you calculate the surface area of a frustum? (curved or total)

(Surface area of the whole cone - the small cone) + πr²

Area of a circle

πr²

Circumference of a circle

2πr or πd

Perimeter of a sector

Arc length + 2r

Area of a sector

(θ/360) x πr²

Arc length

(θ/360) × 2πr