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?
443πcm3
12πcm3
383πcm3
403πcm3
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
= 48−4π3
= 44π3cm3