How many balls, each of radius 1cm, can be made from a solid sphere of

1.	How many balls, each of radius 1cm, can be made from a solid sphere of lead of radius 8cm?
Answer» 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.

How many balls, each of radius 1cm, can be made from a solid sphere of lead of radius 8cm?

Answer»

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.