Everything Maths Grade 10

Volume of pyramids, cones and spheres EMA7S

Square pyramid

| H |

| |

b

Volume =^13 area of base

height of pyramid

=^13 b^2 H

Triangular pyramid

H

|

h

b

Volume =^13 area of base

height of pyramid

=^13 ^12 bhH

Right cone

r

H

Volume =^13 area of base

height of cone

=^13 r^2 H

Sphere

r

Volume=^43 r^3

VISIT:

This video gives an example of calculating the volume of a sphere.

See video:2GSTatwww.everythingmaths.co.za

Worked example 12: Finding the volume of a square pyramid

QUESTION

Find the volume of a square pyramid with a height of 3 cm and a side length of 2 cm.

Chapter 13. Measurements 441