A solid metallic right circular cylinder has diameter 32 cm and height 9 cm. It is melted and recast into a solid sphere. What is the radius (in cm)of the sphere ?

12

We know that,

Volume of cylinder = πr²h

Volume of sphere = \(\frac{4}{3}\) × πr³

Diameter of cylinder = 32cm

Height of cylinder = 9cm

Radius of cylinder = \(\frac{32}{2}\) = 16cm

Volume of cylinder = \(\frac{22}{7}\) × 16² × 9 = 2304π cm³

Volume of sphere = 2304π cm³

Then,

= 2304π = \(\frac{4}{3}\) × πr³

= r = 12