Question

30 circular plates, each of radius 14 cm and thickness 3 cm are placed one above the another to form a cylindrical solid. Find volume of the cylinder so formed.

Answer 1

Given, radius of a circular plate, r = 14 cm

Thickness of a circular plate = 3 cm

Thickness of 30 circular plates = 30 × 3 = 90 cm

Since, 30 circular plates are placed one above the another to form a cylindrical solid.

Then, Height of the cylindrical solid, h = Thickness of 30 circular plates = 90 cm

Volume of the cylinder so formed = πr²h

= `(22/7) xx (14)^2 xx 90`

= `(22/7) xx 14 xx 14 xx 90`

= 22 × 28 × 90

= 55440 cm³

Hence, the volume of the cylinder so formed is 55440 cm³.