Question

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

Answer 1

Answer :

512 numbers of balls can be made of radius 1 cm from a solid sphere of lead of radius 8 cm.

SOLUTION :

Given : Radius of solid sphere , R = 8 cm

Radius of  spherical ball , r = 1 cm

Volume of the solid sphere = 4/3 πR³

Volume of the spherical ball = 4/3 πr³

Number of balls = Volume of the solid sphere of Radius 8 cm /Volume of the spherical ball of Radius 1 cm

Number of balls = ( 4/3 πR³) /(4/3 πr³)

Number of balls = R³/r³ = 8³ / 1³ = 512/1 = 512

Number of balls = 512

Hence , 512 numbers of balls can be made of radius 1 cm of a solid sphere of radius 8 cm.

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Answer 2

$\large\bold{Hey \ dude}$

Here is your answer

Given that a solid sphere f radius (r1) = 8 cm.

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.

Hope its help you