Question

A spherical ball of iron has been melted and made into smaller balls. If the radius of each smaller ball is one-fourth of the radius of the original one, how many such balls can be made?

Answer 1

Answer:

Number of balls can be made is 64.

Step-by-step explanation:

SOLUTION :  

Let the Radius of the original spherical ball be R cm.

Given :  

Radius of each of smaller ball,r  = ¼ Radius of original ball.  

r = R/4

Volume of original spherical ball = 4/3 πR³

Volume of Smaller balls = 4/3 π(R/4)³

= 4/3 π × R³/64  

Number of balls can be made,n  = Volume of original spherical ball / Volume of Smaller balls

n = (4/3 πR³)/(4/3 π × R³/64)

n = 1/ (1/64) = 1 × 64/1 = 64  

n = 64  

Hence, Number of balls can be made is 64.

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Answer 2

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