Question

A spherical ball of radius r₁ units is melted to make 8 new identical balls each of radius r₂ units. Then r₁ : r₂ is

पर्याय

• 2 : 1

• 1 : 2

• 4 : 1

• 1 : 4

Answer 1

2 : 1

Explanation;

Hint:

Volume of the first sphere : Volume of second sphere = 8 : 1

`4/3pi"r"_1^3 : 4/3 pi"r"_2^3` = 8 : 1

`"r"_1^3 : "r"_2^3` = 2³ : 1³

r₁ : r₂ = 2 : 1