Question

A metallic sphere of diameter 12.6cm is melted to make a right circular cone of height 25.2cm .find the area of the base and volume of the cone.
​

Answer 1

Answer:

Here r=  

2

12.6

​

=6.3 cm

Volume of the sphere =  

3

4

​

πr  

3

 

=  

3

4

​

×  

7

22

​

×6.3×6.3×6.3

Volume of a cone =  

3

1

​

πr  

2

h

=  

3

1

​

×  

7

22

​

×25.2×r  

2

 

From the given data, we can understand that  

Volume of the sphere = Volume of cone

⇒  

3

4

​

×  

7

22

​

×6.3×6.3×6.3=  

3

1

​

×  

7

22

​

×25.2×r  

2

 

⇒r  

2

=6.3×6.3

∴r=6.3 cm

Diameter =12.6 cm

Step-by-step explanation: