Cambridge International Mathematics

height

end height

end

242 Mensuration (solids and containers) (Chapter 11)

Volume of cylinder=¼r^2 £h

=¼r^2 £ 2 r

=2¼r^3

) volume of sphere=^23 £volume of cylinder

=^23 £ 2 ¼r^3

=^43 ¼r^3

Thus V =^43 ¼r^3

SUMMARY

Object Figure Formula

Solids of

uniform

cross-section

Volume of uniform solid

=area of end£height

Pyramids

and cones

Volume of a pyramid or cone

=^13 (area of base£height)

Spheres Volume of a sphere=^43 ¼r^3

Example 8 Self Tutor

Find, correct to 3 significant figures, the volume of the following solids:

ab

Archimedes’ tomb

was marked by a

sphere inscribed in

a cylinder.

r

base

height

base

h

height

10 cm

10 cm

4.5 cm

7.5 cm

6cm

r

r

r

IGCSE01

cyan magenta yellow black

(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\IGCSE01\IG01_11\242IGCSE01_11.CDR Tuesday, 18 November 2008 10:53:46 AM PETER