# A cylindrical drum whose base is horizontal and having an internal rad

| A cylindrical drum whose base is horizontal and having an internal radius of 6 cm contains sufficient water so that when a solid spherical ball is placed inside it, water just covers the spherical ball. Spherical ball fits in the cylindrical drum exactly. The depth of water in the cylindrical drum before the spherical ball was put, is

A. 2 cm

B. 3cm

C. 4 cm

D. 5 cm

### Right Answer is: C

#### SOLUTION

In the cylinder of radius 6 cm, the sphere just fits. So, radius of spherical ball is 6cm.

Let, If spherical ball is put in the cylindrical drum, it raises water level by

So, volume of water raised in cylindrical drum = volume of sphere

So

⇒

So, The depth of water in the cylindrical drum before the spherical ball was put = 12-8 = 4cm

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A cylindrical drum whose base is horizontal and having an internal rad