How many lead balls each of radius 1 cm can be made from 9 space of radius 8 centimetre ?
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Volume of the spherical ball of radius 8 cm = 4/3π x 83c3
Also, volume of each smaller spherical ball of radius 1cm = 4/3π x 13cm3.
Let n be the number of smaller balls that can be made. Then, the volume of the larger ball is equal to the sum of all the volumes of n smaller balls.
Hence, 4/3π x n = 4/3π x 83
=> n = 83 = 512
Hence, the required number of balls = 512.
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