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A steel ball of radius 1 cm is dropped into a cylinder of...

A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?

A.

443πcm3

B.

12πcm3

C.

383πcm3

D.

403πcm3

E.

3233πcm3

Correct answer is A

Volume of steel ball = 4πr23

= 43 π x 1

= 4π3cm3

Vol. of cylinder = πr2h

= π x 22 x 3

Vol. of water = 16π - 4π3

= 484π3

= 44π3cm3