An Important Question of M.L Aggarwal book of class 10 Based on Mensuration Chapter for ICSE BOARD.
Find the number of metallic circular discs with given base diameter and height to be melted to form a circular cylinder of given height and diameter .
This is the Question Number 21, Exercise 17.5 of M.L Aggarwal.
Deepak BoraNewbie
Find the number of metallic circular discs with 1.5 cm base diameter and height 0.2 cm to be melted to form a circular cylinder of height 10 cm and diameter 4.5 cm.
Share
Given height of the circular cylinder, h = 10 cm
Diameter of circular cylinder = 4.5 cm
So radius, r = 4.5/2 = 2.25 cm
Volume of circular cylinder = r2h
= ×2.252×10 = 50.625 cm3
Base diameter of circular disc = 1.5 cm
So radius, r = 1.5/2 = 0.75 cm
Height of the circular disc, h = 0.2 cm
Volume of circular disc = r2h
= ×0.752 ×0.2
= 0.1125 cm3
Number of circular discs made from cylinder = 50.625/0.1125 = 450
Hence the number of circular discs made from cylinder is 450.