Question

if 125 identical metallic balls are melted to form 8 bigger balls each of same size then what is the ratio of the surface areas of a bigger ball to that of a smaller ball​

Answer 1

Answer:Let the radius of the spherical steel ball be 'X'

Then the volume of the spherical steel ball=4/3πr³=4/3π(X)³

Let the radius of the small spherical balls be 'x'

Then, Volume=4/3π(x)³

According to question:-

4/3π(X)³=8[4/3πx³]

4/3(X)³=32/3x³

(X)³=8x³

X=2x

Therefore ratio- 1:2

Step-by-step explanation: