17
Sample Papers
18. In Diagram 1. a water tank in the shape of a circular cylinder of radius 24 cm and height 125 cm is open at one end and is full
of water. In Diagram 2. a rectangular trough of length 150 cm and width 20 cm is shown.
Diagram 1
Diagram 2
On the basis of above information, answer the following questions :
(1) The volume, in litres, of water tank is
(a) 94
(b) 188
(c) 226
Answers
Answer:
Volume & Capacity
The car can fit inside the container since there is Space
The amount of space occupied by an object is called its volume.
To measure volume we can use the following units:
Cubic centimetre (cm³)
Cubic metre (m³)
The amount that a container can hold is called capacity.
[resource: 2282, align: left]
The glass in the above image can hold a certain amount of liquid. This is called capacity.
Capacity can be measured using the units:
Millilitres (ml)
Decilitre (dl)
Litre (l)
Relationships involving units of volume and capacity are given below.
Volume
1 000 000 cm³ = 1m³
Capacity
100 ml = 1 dl
10 dl = 1 l
1 000 ml = 1 l
Volume and capacity
1 cm³ = 1 ml
1 000 cm³ = 1
l 100 cm³= 1 dl
1 m³ = 1 000 l
Conversion and basic operations involving units of volume and capacity can be worked out using the relations given above.
To obtain the volume of cubes and cuboids, we can use the number of layers in a stack or apply formulae.
We can also use the relevant formulae to work out the volume of cylinders and solids with uniform cross-sections such as a triangular prism.