Question

A cone of height 24cm and radius of base is 6cm is made up of modelling clay. A child reshapes it in the form of sphere. Then the radius of a sphere is
a). 6cm
b). 8cm
c). 9 cm
d). 3cm​

Answer 1

Answer:

Given that, the child reshapes cone with a sphere.

So, the volume of sphere=Volume of cone.

Height of coneh=24cm and radius of cone =r=6cm

⇒  

3

4

​  

πr  

3

=  

3

1

​  

πr  

2

h

⇒  

3

4

​  

r  

3

=  

3

1

​  

×6  

2

×24

⇒r  

3

=  

4

1

​  

×864cm  

3

 

⇒r=(3×72)  

3

1

​  

 

 

⇒r=(2  

3

×3  

3

)  

3

1

​  

 

 

∴r=6cm

Hence,radius of the sphere=6cm

Step-by-step explanation: