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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.

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 =Âlbh= 70Ã—30Ã—30= 63000 cm^{3}Volume of cylindrical hole =Ï€ r^{2}h= (22/7)Ã—15^{2}Ã—70= 22Ã—225Ã—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