Question

A spherical site of radius 6cm is melted and converted into small spherical balls each of diameter 0.6cm. Find the number of balls.​

Answer 1

Answer:1000

Step-by-step explanation: Radius of bigger ball R=6 cm

Radius of smaller balls r=  

2

1.2

​  

=0.6 cm

Volume of bigger ball V  

1

​  

=  

3

4

​  

πR  

3

 

    =  

3

4

​  

×  

7

22

​  

×6  

3

 

   =905.14

Volume of smaller ball V  

2

​  

=  

3

4

​  

πR  

3

 

      =  

3

4

​  

×  

7

22

​  

×(0.6)  

3

 

 =0.91514

Number of balls =  

V  

2

​  

 

V  

1     =  

0.90514

905.14

=1000

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