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A cylindrical vessel of diameter 24 cm contains some water. if two spheres of radio 6cm each are lowered into the warer until they are completely immersed, then the water level (in cm) in the vessel will rise by

Answer 1

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Kishore answered 4 year(s) ago

A cylindrical vessel of diameter 14cms contains water .a metal sphere of diameter 7cms

a cylindrical vessel of diameter 14cms contains water .a metal sphere of diameter 7cms is lowered into the water until it has been completely immersed .by how much does the water level rise

Class-X Maths

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Asked by Jyothsna

Aug 1

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Kishore , Student

Member since Dec 10 2008

Diameter of cylindrical vessel = 14 cm
Hence its radius, r = 7 cm
Let the level of water rise in the vessel be h cm
Volume of cylinder = πr2h cubic units
                                      = π × (7)2h
                                      = 49πh cubic cm  → (1)
Given diameter of sphere = 7 cm
Radius of sphere, R = 3.5 cm
Volume of sphere = (4/3) π R3 cubic units
                                   = (4/3) π (3.5)3  → (2)
From (1) and (2), we get
49πh = (4/3) π (3.5)3   
⇒ 49h = (4/3)(3.5)3   
∴ h = 1.17 cm (nearly)

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Answer 2

2 cm is the answer........