Correct Answer - Option 2 : 108 cm
Given:
Radius of the sphere = 9 cm
Radius of the cylinder = 3 cm
Formulae Used:
Volume of a cylinder = πr2h
Volume of a sphere = (4/3)πr3
Calculation:
When the sphere is moulded to form cylinder,
Volume of the sphere = volume of the cylinder
⇒ (4/3)πr3 = πr2h
⇒ (4/3) × π × (9)3 = π × (3)2 × h
⇒ h = 108
∴ height of the cylinder is 108 cm.
