Question

A cylinder of diameter 10cm and a height of 20 cm is filled with water .
if a sphere of diameter 10 cm is completely submerged inside the cylinder ,what will be the increase in the level of water, in the cylinder?

Answer 1

1) Find volume of the sphere
2) Equate the volume of sphere with formula of volume of cylinder to find increase in height

Answer 2

V of sphere= (4/3) r^3
=(4/3) 5^3
=500/3

Answer 3

V of cyl=pi r^2h
=pi(5^2) (20)
=500pi

Answer 4

@shubhamsrg

Answer 5

Volume of cylinder = pir^2 h = 500pi

volume of sphere immersed = 4/3pi r^3 = 500pi/3

New volume of cylinder = Initial cylinder volume + Sphere volume.
pi*25*h = 500pi +500pi/3
h = 20(4/3) =80/3

hence change in height = h-20 = 20/3

Answer 6

Thank u @shubhamsrg