Question

A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a shape. The radius of the sphere is: ​

Answer 1

Answer:

Volume of the cone =  

3

1

​  

πr  

c

2

​  

h

Volume of the sphere =  

3

4

​  

πr  

s

3

​  

 

r  

c

​  

 is the radius of cone =2.1 cm        ....(Given)

Let r  

s

​  

 be the radius of the sphere

h is the height of cone =8.4 cm        ...(Given)

Volume of cone = Volume of sphere          ...(Given)

⇒  

3

1

​  

πr  

c

2

​  

h=  

3

4

​  

πr  

s

3

​  

 

⇒  

3

1

​  

r  

c

2

​  

h=  

3

4

​  

r  

s

3

​  

 

⇒r  

s

3

​  

=9.261

⇒r  

s

​  

=2.1 cm

Step-by-step explanation: