The thickness of a metallic tube is 1 cm and inner diameter of the tube is 12 cm. Find the mass of 1 m long tube, if the density of the metal be 7.8 gm/cm3
A
31459.60 gm
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B
32349.60 gm
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C
31839.60 gm
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D
31843.60 gm
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Solution
The correct option is C
31839.60 gm
Here, r = 6cm, R = 7cm, h = 100 cm
Volume of given tube = πh(R2−r2)
= 3.14×100((7)2−(6)2)
= 314×(49−36)=314×13
= 4082 cm3
Mass = volume × density
= 4082 cm3× 7.8 gm/cm3
= 31839. 60 gm