the height of right circular is 12cm and the diameter of the base is 8cm half of it is filled with water.Find the numbers of sphere of diameter 1 cm which are to be dropped in it such that the water rises upto the brim.
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Step-by-step explanation:
Increase in the height of the cylinder due to the sphere, h=3
9
5
=
9
32
cm
Diameter of sphere =12 cm
Radius of the sphere, R=6 cm
Rise in the volume of water in cylinder = Volume of sphere
πr
2
h=
3
4
πR
3
r=
3×32
4×6
3
×9
∴r=9 cm
Therefore, the diameter of the cylindrical vessel =18 cm.
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