The length of a metallic tube is 1 metre, its thickness is 1 cm and its inner diameter is 12cm. find the weight of the tube if the density of the metal is 7.7 grams per cubic centimetre.
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Step-by-step explanation:
inner diameter of a tube =12cm
inner radius r=12/2=6cm
thickness of metal =1m
outer radius [R]=6+1=7cm
length of tube =[h]=1m=100cm
volume of metal used =πR²h
πh[R²-r²]=πh[R+r] [R-r]
=πh [R²-r²]=πh [R+r] [R-r]
22/7×100 [7+6] [7-6] cm³
2200/7×13×1cm³
28600/7 cm³
weight of 1cm³ metal= 7.7g
total weight = 28600/7×7.7g
=31460 g
31.46 kg
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