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SanuByahut
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Find the number of metallic circular discs with 1.5 cm base diameter and of height 0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.

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This question is from r d sharma class 10 maths.

I found this question while doing maths class 10. I need help in getting the solution.

In this question we have to find the number of metallic circular discs with 1.5 cm base diameter and of height 0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.

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1 Answer

  1. Given,

    Radius of each circular disc = r = 1.5/2 = 0.75 cm

    Height of each circular disc = h = 0.2 cm

    Radius of cylinder = R = 4.5/ 2 = 2.25 cm

    Height of cylinder = H = 10 cm

    So, the number of metallic discs required is given by n

    n = Volume of cylinder / volume of each circular disc

    n = πR2H/ πr2h

    n = (2.25)2(10)/ (0.75)2(0.2)

    n = 3 x 3 x 50 = 450

    Therefore, 450 metallic discs are required.

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