A metallic sphere of radius 8 cm is melted to form a cone with radius same as that of sphere. What is the height of the cone (in cm)?

32

Radius of metallic sphere = 8 cm

Volume of sphere = 4Πr³/3 = 4Π(8)³/3

Now the sphere is melted to form a cone of radius = 8 cm 

Volume of cone = Volume of Sphere

Πr²h/3 = 4Π(8)³/3

Π(8)²h/3 = 4Π(8)³/3

h = 4*8 = 32

The correct answer is Option (4) → 32