Question

How many spherical balls each of radius 1cm can be made from a solid sphere of radius 12cm? with solution​

Answer 1

Answer:

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

Step-by-step explanation:

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

Step-by-step explanation:

Number of balls made = volume of sphere of radius 12 cm /volume of sphere of radius 1 cm

Number of spherical balls = (4/3 π r^3 )/(4/3πr^3)

Number of spherical balls =(r^3)/(r^3)

Number of spherical balls =(12×12×12) /(1×1×1)

Number of spherical balls =1728 balls