Question

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

(a) 256

(b) 512

(c) 1024

(d) 576

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.

HOPE THIS ANSWER WILL HELP YOU...