Question

A sphere of radius r is melted and 8 spherical balls of same radii are formed . Find the radius of each spherical ball.
The answer is r/2 . I want the step by step explanation.​

Answer 1

Answer:

Volume of larger sphere = 8 x volume of small spherical balls.

¾ x pi x R³ = 8 x ¾ x pi x r³

¾ x R³ = 2 x 3 x r³

¾ x R³ = 6r³

¾ ÷ 6 x R³ = r³

1/8 x R³ = r³

removing the cube,

R = r x ½

Thus,

R = r/2

Hooe this answer was helpful...