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A cylinder of height 30 cm and radius 7 ...

A cylinder of height 30 cm and radius 7 cm is immersed completely in a fluid of density `1.3 xx 10^(3) kg//m^(3)`. What is the buoyant force acting on it? [Take g = 10 `m//s^(2)`]

Text Solution

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Height of the cylinder, h = 30 cm
Radius of the cylinder, r = 7 cm
Volume of cylinder, `V_(c)= pir^(2)h= 22/7 xx (7)^(2) xx 30cm^(3)`
`V_(c)4620cm^(3)`
`V_(c)=4.62 xx 10^(-3)m^(3)`
Since the cylinder is completely immersed in the fluid,
`:.` Buoyant force = volume of the cylinder `xx` Fluid density `xx` g
`V_(c)rhog`
`4.62xx10^(-3)xx1.3xx10^(3)xx10`
60N
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