Question

12 solid spheres of the same radii are made by melting a solid metallic

cylinder of base diameter 2cm and height 16cm. Find the diameter of the

each sphere
​

Answer 1

Answer:

diameter= 2cm

Step-by-step explanation:

Here, total volume should be conserved.

so,

$12 \times \frac{4}{3} \pi \: r {}^{3} = \pi \: g {}^{2} h$

here, r = radius of each solid sphere

g= radius of cylinder

h= height of the cylinder

by putting h=16cm, g=1 cm

we get, r=1

so, the diameter of the each solid sphere= 2× 1cm = 2cm