How many balls, each of radius 1cm, can be made from a solid sphere of lead of radius 8cm ?
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0
Answer:
The volume of the solid sphere = sum of the volumes of n spherical balls. Therefore, 512 balls can be made of radius 1 cm each with a solid sphere of radius 8 cm.
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1
Answer:
Volume of the spherical ball of radius 8 cm
=4/3π×8³cm³
volume of each smaller spherical ball of radius 1 cm
=4/3π+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×n=4/3π×8³
⇒n=8³=512
Hence, the required number of balls =512
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