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An iron cuboid with dimensions 4.4 m × 2.6 m × 1 m is melted and recasted it into a hollow circular pipe. If internal radius and thickness of the pipe are 30 cm and 5 cm respectively. Find its length.

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Given:

Internal radius of pipe (r) = 30 cm

Thickness of the pipe = 5 cm

External radius of the pipe R =30 + 5 = 35 cm

Let the length of the cylindrical pipe be h.

Volume of iron cuboid = l × b × h

= 4.4 × 2.6 × 1 m3

= 4.4 × 2.6 × 1 × 1000000 cm3

∴ The cuboid is melted and recasted into a hollow cylindrical pipe.

∴ Volume of hollow cylindrical pipe = Volume of cuboid

Hence the length of cylindrical pipe = 112 m.

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