SSC CGL 1 Sep 2016 Paper

Question : 70 of 100

Marks: +1, -0

A cylindrical vessel of radius 4 cm. contains water. A solid sphere of radius 3 cm. is dipped into the water until it is completely immersed. The water level in the vessel will rise by

3.5 cm.
2.25 cm.
2 cm.
3.8 cm

Validate

Solution:

If the rise in water level be h cm., then

πr^2h

4/3 πR^3

where r = radius of cylindrical vessel,
R = radius of solid sphere
⇒

4^2

× h =

4/3 × (3)^3

⇒ h =

{4×3×3}/{4×4}

9/4

= 2.25 cm

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