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प्रश्न
A sphere of radius 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 8 cm. If the sphere is submerged completely, then the surface of the water rises by
विकल्प
4.5 cm
3
4 cm
2 cm
उत्तर
Radius of the sphere = 6 cm.
Volume of the sphere
`=4/3pir^3`
`=4/3 pi xx 6 xx 6 xx 6`
and
Radius of the cylinder = 8 cm
Volume of the cylinder
`=pir^2h`
`=pi xx 8 xx 8 xx h`
Therefore,
Volume of the sphere = volume of the cylinder
`4/3pi(6)^3 = pi(8)^2 h`
or
`h = (4 xx 72)/64 = 4.5 cm`
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