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17 September, 11:12

if a cylindrical bar has radius 2m and height 9cm and if it is melted and become a sphere. what is the radius of the sphere?

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  1. 17 September, 14:47
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    Volume of the Cylindrical bar, V = pi * r^2 * h

    V = pi * 200^2 * 9

    V = 22/7 * 40000 * 9

    Let's assume the radius of the sphere as r

    Volume of the sphere V1 = 4/3 * pi * r^3

    V1 = V

    V1 = 4/3 * pi * r^3

    22/7 * 40000 * 9 = 4/3 * 22/7 * r^3

    r^3 = (40000 * 9) * 3/4

    r^3 = 10000 * 9 * 3

    r = (10 * 10^3 * 3^3) ^ (1/3)

    r = 10^ (1/3) * 10 * 3

    r = 2.154 * 30

    r = 64.63 cm
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