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Deepak Bora
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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.

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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.

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1 Answer

  1. 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

    = ×0.75×0.2

    = 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.

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