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In a cylindrical vessel of radius 10cm , containing some water , 9000 small spherical balls are dropped which are completely immersed in water which raises the water level. If each spherical ball is of radius 0.5cm, then find the rise in the level of water in the vessel.


Girish Hari 13th Mar, 2020
Answer (1)
Nikki Nair 14th Mar, 2020

Hello Aspirant

The answer to the question would be:

r of cylindrical vessel=10 cm

9000 small spherical balls or radius=0.5cm

Rise in water level=?

Rise in level=Volume of sphere

pi*r*r*h=(4/3*pi*r*r*r)*9000

Pi on both sides gets cancelled

r*r LHS cancels with r*r RHS

(10*10)*h=4/3*0.5*0.5*0.5

h=0.5*3000/100

h=15 cm

The water rises by 15 cm

Regards!

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