Question

find the number of plates 1.5cm in diameter and 0.2cm thick that can be fitted completely inside a right circular cylinder of height 10cm and diameter 4.5 cm

Answer 1

vol. of cylinder = πr^2h
= 22/7*(4.5/2)^2*10
= 22/7*5.0625*10
= 159.107143 cm^3
vol.of plate = π*r^2*h
= 22/7*(1.5/2)^2*0.2
= 22/7*0.5625*0.2
=0.35357143 cm^3
No.of plates = vol.of cylinder/vol.of plates
= 159.107143/0.35357143
= 450 plates.

Answer 2

volume of plate=22/7 x 1.5/2 x 1.5/2 x 0.2
volume of cylinder=22/7 x 4.5/2 x 4.5/2 x 10
volume of cylinder/volume of plate=450.728