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Question

A metal place has a bore (inner diameter) of 5 cm.The pipe is 5 mm thick all around.Find the weight,in kilogram,of 2 meters of the pipe if 1 cm3 of the metal weighs 7.7 g.

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Solution

The inner diameter = 5cm
The inner radius = 52 = 2.5 cm
The thickness = 5 mm = 510cm = 0.5cm

The outer radius = 2.5 + 0.5 = 3 cm

The length of the pipe = 2 m = 2 x 100 cm = 200 cm

Volume of the pipe = 227 × R2 × h - 227 × r2 × h = 227 × (R2r2) × h
Where R = outer radius, r = inner radius and h = length of pipe


∴ Volume = 227 × (322.52) × 200
= 227 × (96.25) × 200
= 1728.57 cm3
Mass = Density x Voulme
= 7.7 x 1728.57
= 13310 g

1000g = 1kg
∴ Mass = 133101000 = 13.31 kg


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