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  • The thickness of a metallic tube is 1 cm and the inner diameter of the tube is 12cm . Find the weight of 1m long tube , if the density of the metal be 7.8 gm/cm^3.

The thickness of a metallic tube is 1 cm and the inner diameter of the tube is 12cm . Find the weight of 1m long tube , if the density of the metal be 7.8 gm/cm^3.

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Solution: We have , 

                 Inner diameter of the tube =  12cm 

herefore              r= Inner radius of the tube = 6cm 

                Thickness of the tube = 1cm 

herefore             R = Outer radius of the tube =  (6+1)cm = 7cm 

                h = Length of the tube = 1m = 100cm 

herefore             Volume of the metal in the tube 

                =pi(R^2-r^2)h= frac227 imes (7^2-6^2) imes 100 cm^3=frac227 imes 13 imes 100 cm^3

               Density of the metal = 7.8 gm/cm^3

herefore            Weight of the tube   =  Volume  imes Density

Rightarrow           weight of the tube = frac227 imes 13 imes 100 imes 7.8 gm

                                              =31868.57gm=frac31868.571000Kg=31.86857Kg

Posted by

Deependra Verma

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