Question

Metallic spheres of radius 6 cm. 8 cm. and 10 cm, respectively are melted in forma
single solid sphere. Find the radius of the resulting sphere​

Answer 1

Answer:

Let the radius of the resulting sphere be r cm.  

Then, the volume of the resulting sphere = Sum of the volumes of three sphere of radii 6cm,8cm and 10cm

⇒  

3

4

​  

πr  

3

=  

3

4

​  

π×6  

3

+  

3

4

​  

π×8  

3

+  

3

4

​  

π×10  

3

 

⇒r  

3

=216+512+1000

⇒r  

3

=1728

⇒r  

3

=12  

3

 

⇒r=12cm

Step-by-step explanation: