a cylinder of maximum volume is cut from a wooden cuboid pf length 30 cm and cross-section square of side 14 cm .find the volume of cylinder and the volume of the wood wasted.
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Solution:-
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
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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
PLZZ MARK IT AS BRAINLIEST!!! i need to cross this level and reach the nxt one. so plzz mark it!!
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