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CBSE Class 9 Answered

MEASUREMENT
Asked by | 17 Jul, 2009, 07:23: AM
answered-by-expert Expert Answer

Volume of Irregularly Shaped Objects   Volume of irregularly shaped objects can be found out by measuring the volume of displaced liquid by an object. We can find the volume of these solids with the help of a measuring cylinder.   (a) Measurement of volume of solids by displacement method   Pour water into a clean measuring cylinder (nearly three fourth of its volume) and note the level of water. To avoid parallax error, reading must be taken at the lowest level of meniscus or curved surface of the liquid as shown in the diagram below. Attach a string to the solid and lower it into the water and note the new level of water. The difference in the above two readings will give you the volume of the solid.  

  To measure the volume of an irregular body using measuring cylinder  

(b) Volume of an object lighter than the liquid, which will float in the liquid   If the object is lighter, it will float on water. In that case its volume can be found out with the help of a sinker. Pour some water in a measuring cylinder and lower the sinker (any body which sinks) into it. Note the level of water.         

Volume of a floating body using sinker  

Tie the object to the sinker and lower them into the measuring cylinder and note the reading of water level. The difference in water level will give you the volume of the object.   (c) Volume of an irregular solid using an overflow vessel and a measuring cylinder   Volume of an irregular solid can also be found by displacement method using an overflow vessel.  

 
Measurement of Volume
The space occupied by a substance is called its volume. SI unit of volume is cubic meter (m3). The solids whose volume can be calculated by measuring length, width, height, diameter etc. are called regular solids.
 
Volume of some of the regular solids can be calculated using the formulae given in the following table.
 
 
1m3 = 1m x 1m x 1m
 
= 100 cm x 100 cm x 100 cm
 
= 1000000 cm3
 
= 106cm3
 
Volume of Irregularly Shaped Objects
 
Volume of irregularly shaped objects can be found out by measuring the volume of displaced liquid by an object. We can find the volume of these solids with the help of a measuring cylinder.
 
(a) Measurement of volume of solids by displacement method
 
Pour water into a clean measuring cylinder (nearly three fourth of its volume) and note the level of water. To avoid parallax error, reading must be taken at the lowest level of meniscus or curved surface of the liquid as shown in the diagram below. Attach a string to the solid and lower it into the water and note the new level of water. The difference in the above two readings will give you the volume of the solid.
 
 
To measure the volume of an irregular body using measuring cylinder
 
(b) Volume of an object lighter than the liquid, which will float in the liquid
 
If the object is lighter, it will float on water. In that case its volume can be found out with the help of a sinker. Pour some water in a measuring cylinder and lower the sinker (any body which sinks) into it. Note the level of water.
 
 
     Volume of a floating body using sinker
 
Tie the object to the sinker and lower them into the measuring cylinder and note the reading of water level. The difference in water level will give you the volume of the object.
 
(c) Volume of an irregular solid using an overflow vessel and a measuring cylinder
 
Volume of an irregular solid can also be found by displacement method using an overflow vessel.
 

                Volume by using overflow vessel  

Fill the overflow vessel with water until the water starts overflowing. When water stops overflowing place a measuring cylinder below the overflow tube. Now gently lower the solid into the water with the help of a string. When water stops overflowing, read the volume of water collected in the measuring cylinder.

Answered by | 17 Jul, 2009, 11:37: AM
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