a sphere of radius 8 cm is dropped in a cylindrical vessel partly filled with water. yhe diameter of the sphere is 16 cm . if the sphere is completely submerged in water , find by how much the level of water will rise in the vessel???

Asked by  | 13th Mar, 2013, 08:28: PM

Expert Answer:

Let the rise in the height of the cylinder be h and r1 and r2 be the radius of cylinder and sphere respectively. 
 
r1 = 16/2 = 8cm
r2 = 8 cm
 
Volume of the water displaced in the cylinder = Volume of the sphere
pi*r12*h = 4/3 * pi*r23
(8)2 *h = 4/3* (8)3
h = 32/3 cm

Answered by  | 14th Mar, 2013, 06:14: AM

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