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Answers
the wooden cylinder that can be cut from the cuboid of lenght 30cm, and cross section square of side 14cm, will have a lenght of 30 cm and diameter of base as 14cm.
Radius of cylinder = 7 cm
the volume of the wooden cylinder formed = ⊼ r2 h
= ⊼ (7)^2 * 30= 4620 cm3
volume cuboid = (30 * 14 * 14)= 5880
volume of wood wasted = volume cuboid - volume of cylinder
= 5880 - 4620 = 1260 cm3 ANS
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Given : Length of the cuboid = 30 cm
And having cross sections like squares of side 14 cm
So, height and breadth of cuboid is 14 cm.
For maximum possible volume of cylinder,
Radius of cylinder = 7 cm
Length of the cuboid = height of the cylinder = 30 cm
So,
Volume of cylinder = πr²h
= 22/7*7*7*30
Volume of the cylinder = 4620 cm³
Now,
Volume of the cuboid = L*B*H
= 30*14*14
Volume of the cuboid = 5880 cm³
Volume of the wood left as wasted = Volume of the cuboid - Volume of the cylinder
= 5880 - 4620
Volume of the wood wasted = 1260 cm³