The rise of water level is due to the volume increase caused by the completely submerged sphere.
Volume increase in cylinder= Volume of sphere
We know that
Volume of cylinder= π r2h
Where, r= Radius of cylinder and h= Height of cylinder
Volume of sphere = (4/3) π R3
Where R= radius of sphere
So Volume of cylinder = Volume of sphere
⇒ π r2h = (4/3) π R3
⇒ (18)2 × h =(4/3) (9)3
⇒ h = 3 cm.
Rate this question :