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(#M40018230) SELF question Surface area and volume Keep an EYE

The thickness of a metallic pipe is 1
cm.
Its inner diameter is 12 cm. What is the volume of metal needed for a pipe of length 1m.

Dhananjay Shrimali (11 years ago)

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Vinay Sipani   (11 years ago)

Volume of metal needed = (volume of full pipe) - (volume of inner cylinder)

Diameter of pipe = 12 + 2 = 14 cm
=> radius of pipe = R = 7 cm

Radius of inner cylinder = r = 12/2 = 6 cm

Length of pipe = 100cm

=> volume of metal = pi * R^2 * h - pi * r^2 * h
= pi * h (R^2 - r^2)
= (22/7) * 100 * (7^2 - 6^2)
= 4085.71 cm^3

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