If a solid sphere of radius 20 cm is moulded into 8 solid spherical balls of equal radius, then the radius of each ball will be: (Where π = 22/7 )

Correct option is A

Given:

Radius of bigger sphere =20cm

Number of smaller sphere = 8

Formula Used:

Volume of sphere =$$\frac{4}{3}\times\pi \times (r^3)$$​​

Solution:

When sphere is melted and carved into smaller balls the volume remains same.

Hence

Volume of bigger sphere = n $$\times$$​ Volume of smaller ball

​$$\frac{4}{3}\times\pi \times (20)^3 = 8\times \frac{4}{3}\times\pi \times (r^3)$$​​

​$$r^3= \frac{8000}{8} =1000$$​

​$$r= \sqrt[3]{1000} =10cm$$ 

Thus, the radius of the smaller ball is 10 cm.