How many balls, each of diameter 2 cm can be made from a solid sphere oflead of
radius 10
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3
Answer:
Volume of the spherical ball of radius 8 cm
=34π×83cm3
Also, volume of each smaller spherical ball of radius 1 cm
=34π×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, 34π×n=34π×83
⇒n=83=512
Hence, the required number of balls =512.
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