# 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.

It is given in the question that,

Length = 1m

= 100cm

Inner diameter = 12 cm

Hence,

Inner volume =Πr12h

Thickness = 1 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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