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Q) 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.
Answer :-
13500 cm^2
Step-by-step explanation :-
Given :-
- Diameter of big hole :- 30 cm
- Height of big hole :- 70 cm
To Find :-
Volume of wood left
Solution :-
Diameter = 30
Radius = 30/2 = 15
Height = 70
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Volume of hole = Volume of cylinder = πr^2h
= 22/7 x 15 x 15 x 70
= 22 x 15 x 15 x 10
= 49500 cm^3
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Volume of cuboidal block of wood = Volume of cuboid = L x B x H
= 70 x 30 x 30
= 63000 cm^2
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Volume of wood left = Volume of wood block - Volume of hole
= 63000 - 49500
= 13500 cm^2
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