A solid sphere of radius 6 cm is placed in a hollow cylinder of height 10 cm. Find the volume of the empty space?
1). 70 π
2). 71 π
3). 72 π
4). 74 π
We know that,
Volume of Sphere = 4/3 πr3
Volume of Cylinder = πr2h
⇒ Volume of hollow space = Volume of Cylinder - Volume of Sphere
⇒ Volume of hollow space = πr2h - 4/3 πr3 = πr2(h - 4r/3)
⇒ Volume of hollow space = π × 62 × (10 - 8) = 72π