Question

12 solid spheres of the same radii are made by meeting a solid metallic cylinder
of base diameter 2 cm and height 16 cm. Find the diameter of the each
sphere.​

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