Cambridge International Mathematics

Mensuration (solids and containers) (Chapter 11) 245

7 How many spherical fishing sinkers with diameter 1 cm could be made by melting a rectangular block

of lead 20 cm by 5 cm by 6 cm and casting the molten product?

8 A conical heap of garden soil is dumped on a flat surface. If the diameter of the heap equals its height,

and its volume is 1 : 5 m^3 , how high is the heap?

9

formula:

Thecapacityof a container is the quantity of fluid or gas used to fill it.

The basic unit of capacity is the litre.

1 centilitre(cl) =10millilitres (ml)

1 litre = 1000millilitres (ml)

1 litre = 100centilitres (cl)

1 kilolitre(kl) = 1000litres

CAPACITY UNITS CONVERSION

Example 11 Self Tutor

Convert: a 4 : 2 litres to ml b 36 800litres to kl c 25 cl to litres

a 4 : 2 litres

=(4: 2 £1000)ml

= 4200ml

b 36 800litres

= (36 800¥1000)kl

=36: 8 kl

c 25 cl

= (25¥100)litres

=0: 25 litres

EXERCISE 11C.1

1 Give the most appropriate units of capacity for measuring the amount of water in a:

a test tube b small drink bottle c swimming pool d laundry tub

2 Convert:

a 68 cl into ml b 3 : 76 litres into cl c 375 ml into cl

d 47 320litres into kl e 3 : 5 kl into litres f 0 : 423 litres into ml

g 0 : 054 kl into litres h 58 340cl into kl

C CAPACITY [6.1, 6.4]

2 h

h

l

r

V=l(2h^2 ¡^12 ¼r^2 )

To avoid

confusion with

the number ,

we write out the

full word litre.

1

kl litres cl ml

̧1000 ̧100

́100

̧10

́1000 ́10

A half-pipe for skating is made with the dimensions shown.

Show that the volume of concrete used is given by the

IGCSE01

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y:\HAESE\IGCSE01\IG01_11\245IGCSE01_11.CDR Thursday, 25 September 2008 12:37:23 PM PETER