SOLVE:
A sphere of diameter 12cm is dropped in a right
circular cylindrical vessel, partly filled with water. If
the sphere is completely submerged in water, the
water level in the cylindrical vessel rises by 32/9 cm,
find the diameter of the cylindrical vessel.(draw a
neat diagram to support the solution)
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Answer:
18 CM answer
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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