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As shown in the figure, a cylindrical glass contains water. A metal sphere of diameter 2 cm is immersed in it. Find the volume of the water.

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Given: For the metal sphere, 

diameter (d) = 2 cm 

For the cylindrical glass, diameter (D) =14 cm,

height of water in the glass (H) = 30 cm 

To find: Volume of water in the glass.

Let the radii of the sphere and glass be r and R respectively.

Volume of water with sphere in it = πR2

= π × (7)2 × 30 

= 1470π cm3 

Volume of water in the glass = Volume of water with sphere in it – Volume of sphere

∴ The volume of the water in the glass is 1468.67 π cm3 (i.e. 4615.80 cm3 ).

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