A solid metallic sphere of radius 8 cm is melted and recasted as a cone of height 8 cm. Find the base radius of the cone (in cm).

16

Solid metallic sphere of radius 8 cm is melted

Volume of sphere = 4Πr³/3 = 4Π(8)³/3

The same is recasted as a cone of height 8 cm

Volume of cone = Πr²h/3 

⇒ Πr²8/3 = 4Π(8)³/3

r² = 4*8²

r = 16

The correct answer is Option (3) → 16