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

1 Answer

2 votes

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


User Sean Howell
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