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11 June, 10:52

How many balls each of radius 2cm can be made from a solid sphere of lead of radius 8cm

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  1. 11 June, 12:24
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    Volume of the original sphere:

    Volume = 4/3πr^3

    Original sphere has a radius of 8 cm:

    Volume = 4/3 * 3.14 * 8^3

    Volume = 4/3 * 3.14 * 512

    Volume = 2143.57 cubic cms.

    Volume of smaller sphere with radius of 2 cm:

    Volume = 4/3 * 3.14 * 2^3

    Volume = 4/3 * 3.14 * 8

    Volume = 33.49 cubic cms.

    Number of balls that can be made: 2143.57 / 33.49 = 64
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