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If a spherical metal bob of radius 3cm is fully... - JAMB Physics 2001 Question

If a spherical metal bob of radius 3cm is fully immersed in a cylinder containing water and the water level rises by 1cm, what is the radius of the cylinder?

A
12cm
B
1cm
C
3cm
D
6cm
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Correct Option: D

If the bob is fully immersed in the water, then the volume of water displaced will be equal to the volume of the bob = 4/3πr3, where r is the radius of the bob.

This volume of water in the cylinder = πr2l, where r = radius of the cylinder, and l = level of water rose in the cylinder.

Therefore, π x r2 x l = 4/3 x π x 33

Then r2 = 36

r = √36

r = 6cm

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