Q. 214.1( 20 Votes )

The length of a metallic tube is 1 metre, its thickness is 1 cm and its inner diameter is 12 cm. Find the weight of the tube if the density of the metal is 7.7 grams per cubic centimetre.
Hint. Weight of 1 cm3 of metal = 7.7 g.

Answer :

It is given in the question that,

Length = 1m


= 100cm


Inner diameter = 12 cm


Inner Radius = 6 cm


Hence,


Inner volume =Πr12h

Thickness = 1 cm


outer radius = 7 cm


Now,


We can calculate the following measurements:


Total volume =Πr22h

Now,


Volume of the tube = total volume – inner volume


=  Πr22h- Πr12h


= Πh(r22 - r12)

= 3.14 × 100 × (72 - 62)

= 3.14 × 100 × (49 - 36)

= 314 × 13

= 4082 cm3 


We have,


Density of the tube = 7.7 g/cm3


Therefore,


Weight of the tube = volume × density


= 4082 × 7.7


= 31431g


= 31.43 kg

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