Question

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.

Answer 1

hey friend

first find the volume of tube

V= (2πr)(length)(thickness)

V= (2×22/7×6)(100)(1)

=( 44×6×100)/7=( 26400)/7 cm³

weight of tube = density × volume


= (7.7× 26400)/7

= 29040 gram

= 29.040 kg



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Answer 2

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