Question

A solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius then the radius of each ball is​

Answer 1

Answer:

Step-by-step explanation: Given R1 =10 cm

volume of sphere = 4/3πR³

4/3πR³=8(4/3πr³)

R³=8r³

R=8r

r=R/8

r=10/8

r=5/4

Therefore radius of each small sphere is 1.2cm

Answer 2

Step-by-step explanation:

Given radius of Largest sphere = 10cm

it is said that it is moulded into 8 spheres of equal radii

volume of the largest sphere = volume of 8 sphere

4/3*pi*R^3 = 8 (4/3*pi*r^3)

cancel out 4/3*pi on both sides

R^3 = 8 r^3

1000 = 8 r^3

r^3 = 1000/8

r^3 = 125

r = 5cm