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# The adjoining figure shows a cuboidal block of wood through which a circular cylindrical hole of the biggest size is drilled. Find the volume of the wood left in the block.

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ICSE Board Question Based on Mensuration Chapter of M.L Aggarwal for class10
The adjoining figure shows a cuboidal block of wood through which a circular cylindrical hole of the biggest size is drilled. Find the volume of the wood left in the block.
This is the Question Number 01, Exercise 17.4 of M.L Aggarwal.

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1. This question is from ml aggarwal class 10 ch 17 excercise 17.4 question 1

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Given diameter of the hole, d = 30 cm

radius of the hole, r = d/2 = 30/2 = 15 cm

Height of the cylindrical hole, h = 70 cm

Volume of the cuboidal block =Â lbh

= 70Ã—30Ã—30

= 63000 cm3

Volume of cylindrical hole =Ï€ r2h

= (22/7)Ã—152Ã—70

= 22Ã—225Ã—10

= 49500 cm3

Volume of the wood left in the block = 63000-49500 = 13500 cm3

Hence the volume of the wood left in the block is 13500 cm3.

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