Question

A cylinder of maximum volume is cut from a wooden cuboid of length 30 cm and cross section of square of side 14 cm Find the volume of cylinder and the volume of wood wasted​

Answer 1

A cylinder of the maximum volume is cut from a wooden cuboid of length 30 cm and cross-section a square side 14 cm.

So,

Diameter of the cylinder = 14 cm

⇒ Radius (r) = 14/2 = 7 cm

and height (h) = 30 cm

Volume of cuboid = 30 × 14 × 14 = 5880 cm³

Volume of cylinder = πr²h

= 22/7 × 7 × 7 × 30

= 4620 cm³

Hence,

The wastage of wood = 5880 – 4620 = 1260 cm³

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