Question

An iron solid sphere of radius 3cm is melted and recast into small spherical balls of radius 1cm each Assuming that there is no wastage in the process , find the number of small spherical balls made from the given sphere?

Answer 1

Hey there!!

Volume of the iron solid sphere = 4πr^3
= 4/3π × 3×3×3
= 4/3×27π

volume of spherical ball of radius 1 cm = 4π
total no. of spherical ball can be made = 4/3π ×27/4/3π
= 27 ball

hence 27 spherical ball can be made
hope this helps u

Answer 2

Answer:

27 Small sperical balls are made from the given sphere.

Step-by-step explanation:

Given:

Radius of solid sphere= 3cm.

As we know that,

Volume of sphere = (4/3) $\pi r^{3}$     (where r= radius of the sphere)

Volume of solid sphere= (4/3) ×(22/7)× $3^{3}$

                                       = (4/3)×(22/7)×27=792/7 cb. cm.

Radius of small ball= 1 cm.

Volume of small sphere= (4/3)× (22/7) × $1^{3}$

                                       = 88/21 cu. cm.

As solid sphere is melted and recast into small balls.

∴ Number of spherical balls casted = volume of solid sphere/volume of ball

                                                          = (792/7) / (88 /21)

                                                          = (792 ×21) /(88×7)

                                                          = 27