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.
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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.
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inner diameter = 12 cm
Therefore, radius = 6 cm
Thickness = 1 cm
External radius = thickness + inner radius
=1 + 6 = 7 cm.
Length of tube = 1 m = 100 cm
Now, volume of tube = π(R² - r²)h
22/7 * (7² - 6²) * 100
22/7 * 13 * 100 = 4085.71 cm³
Density of metal per cm³ = 7.7 g
Weight of tube = 7.7 g × 4085.71
= 31868.538 g
= 31.868 kg