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Tje dimensions of a solid iron cuboid are 4.4m x 2.6m x 1.0m. It is melted and recast into a hollow cylindrical pipe of 30cm inner radius and thickness 5cm. Find the length of the pipe

Posted by Suchit Patel 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 10 months ago

The volume of the solid iron cuboid = l×b×h

length of the cuboid = 4.4 m = 440 cm

breadth of the cuboid = 2.6 m = 260cm

Height of the cuboid = 1.0 m = 100 cm

Volume = 440×260×100
= 11440000 cm ^3

Volume of the cuboid = Vol. of the cylindrical pipe
Vol. of the cylindrical pipe = 11440000cm ^3

Inner radius of the pipe = 30 cm

Outer radius of the pipe = 35 cm

π (R^2 - r^2 ) h = 11440000

22/7 [ (35×35) - (30×30) × h = 11440000

22/7 [ 1224 - 900] × h = 11440000

22/7 [324] × h = 11440000

1018.28× h = 11440000
h = 11440000/1018.28

h = 11234.63cm
h = 112.34m

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