A sphere of radius R band relative density 4 is hanging with the help of string such that it remains just inside water. The ratio of force exerted by the liquid on upper and lower half of the sphere is
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Total surface area=4πR
2
Surface area of upper half=2πR
2
Surface area of lower half=2πR
2
Average pressure of on upper half=(
2
h
1
+h
2
)ρg=
2
R
ρg
Average pressure of on lower half=(
2
h
1
+h
2
)ρg=
2
3R
ρg
Force upper half=
2
R
ρg×2πR
2
Force lower half=
2
3R
ρg×2πR
2
Ratio=
3
1
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