SOLUTION: A conical vessel of radius 6cm and height 8cm is completely filled with water.A sphere is lowered into the water and its size is such that when it touches the sides it is just imme

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Question 550147: A conical vessel of radius 6cm and height 8cm is completely filled with water.A sphere is lowered into the water and its size is such that when it touches the sides it is just immersed.What fraction of water overflows?
Answer by lwsshak3(11628) About Me  (Show Source):
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A conical vessel of radius 6cm and height 8cm is completely filled with water.A sphere is lowered into the water and its size is such that when it touches the sides it is just immersed.What fraction of water overflows?
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r=radius=6
Volume of conical vessel=πr^2*h=288π
..
r=radius=4
Volume of sphere=4πr^3/3=256π/3
..
(256π/3)/288π≈29.6%
ans:
Fraction of water that overflows≈30%