Cambridge International Mathematics

Mensuration (solids and containers) (Chapter 11) 243

a Volume

=length£width£depth

=7: 5 cm£ 6 cm£ 4 : 5 cm

¼ 203 cm^3

b Volume

=

=¼r^2 £h

=¼£ 52 £ 10

¼ 785 cm^3

Example 9 Self Tutor

Find the volumes

of these solids:

ab

a Volume

=^13 £area of base£height

=^13 £ 10 £ 10 £ 12

= 400cm^3

b Volume

=^13 £area of base£height

=^13 £¼£ 62 £ 10

¼ 377 cm^3

Example 10 Self Tutor

Find the volume of the sphere in

cubic centimetres, to the nearest

whole number:

First, convert 0 : 32 m to cm.

0 : 32 m=32cm

V=^43 ¼r^3

) V=^43 ¼£ 163

) V¼17 157cm^3

EXERCISE 11B.2

1 Find the volume of the following:

abc

Change the units

to centimetres

before calculating

the volume.

10 cm

12 cm

10 cm

6cm

0.32 m

11 m

7m

5m

6cm

12 cm

5cm

8cm

16 cm

area of cross-section£height

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Y:\HAESE\IGCSE01\IG01_11\243IGCSE01_11.CDR Tuesday, 14 October 2008 2:55:12 PM PETER