Volume of a pyramid

One third of the base area times the perpendicular height.

Volume of a cone

⅓πr²h with the perpendicular height rather than the slant.

Volume of a sphere

Four thirds of πr³ with only the radius cubed.

Surface area of a pyramid

The base plus the triangular faces.

Surface area of a cone

The curved surface πrl with l the slant height.

Surface area of a sphere

4πr² for the whole sphere.

Composite solids

Volumes and surface areas of solids built from simpler ones.

Volume of a frustum

A cone with its top removed.

Higher

Practice

Volume of a pyramid

One third of the base area times the perpendicular height.

Practice

Volume of a cone

⅓πr²h with the perpendicular height rather than the slant.

Practice

Volume of a sphere

Four thirds of πr³ with only the radius cubed.

Practice

Area, surface area and volume review

Circles, sectors, prisms, cones, spheres and frustums, exact in terms of π.

Mixed review