Question

15. 12 solid spheres of the same radii are made by melting a solid metallic cone of base diameter 2cm
and height 6cm. Find the diameter of the each sphere.

plz read that height is 6 cm not 16 cm​

Answer 1

Answer:

Volume of a sphere of radius 'r' =

3

4

πr

3

Volume of a Cylinder of Radius "R" and height "h" =πR

2

h

As the diameter of the cylinder is 2 cm, its radius r =1 cm

Now, Volume of 12 spheres = Volume of the cylinder.

12×

3

4

πr

3

=π×1

2

×16

r

3

=1

r=1cm

Hence, diameter of the sphere =2cm