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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# 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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This answer was edited.Given diameter of the hole, d = 30 cmradius of the hole, r = d/2 = 30/2 = 15 cmHeight of the cylindrical hole, h = 70 cmVolume of the cuboidal block =lbh= 70×30×30= 63000 cm^{3}Volume of cylindrical hole =π r^{2}h= (22/7)×15^{2}×70= 22×225×10= 49500 cm^{3}Volume of the wood left in the block = 63000-49500 = 13500 cm^{3}Hence the volume of the wood left in the block is 13500 cm^{3}.This question is from ml aggarwal class 10 ch 17 excercise 17.4 question 1