150 marbles each of diameter 1.4cm are dropped in a cylinderical vessel of diameter 7cm containing some water which are completely immersed in water. find the rise in the level of water in the vessel

diameter of marble = 1.4 cm

radius of marble = 0.7 cm

number of marbles = 150

diameter of cylinder = 7cm

radius of cylinder = 3.5cm
Let the height of the water raised when 150 spheres are dropped in the vessel.

volume of 150 marbles = volume of water raised by height 'h' inside the vessel

150 * 4 / 3 * pie * 0.7 * 0.7 * 0.7 =pie * 3.5 * 3.5 *h         [vol. of sphere = (4/3) pie r; vol. of cylinder = pie rh]

50 * 4 * (0. 7)3 = (3.5)2 * h

200 * 0.343 = 12.25 * h

68.6 / 12.25 = h

5.6 = h

Height of water raised(h) = 5.6 cm

 

 

 

 

 

 

 

 

 

 

  • 43

5.6cm

  • -4
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