A cylinder of the maximum volume is cut from a wooden cuboid of length 30 cm and crosssection a squa...

Question

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

Accepted Answer

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

M L Aggarwal - Understanding ICSE Mathematics - Class 8 chapter Mensuration Question 15 Solution image

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

ML Aggarwal Solutions Class 8 Mathematics Solutions for Mensuration Exercise 18.3 in Chapter 18 - Mensuration