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Calculate the moment of inertia of a sol...

Calculate the moment of inertia of a solid cylinder of length 10 cm and of radius 20 cm about its own axis. Density of the material of the cylinder = 9 g `."cm"^(-3)`.

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L = length of the cylinder, R = radius of the cylinder and M = mass of the cylinder
= volume of the cylinder `xx`density
`=piR^(2)Lxx`density
`=pixx (20)^(2)xx10xx9 `g
Moment of inertia of a solid cylinder about its own axis,
`I= (1)/(2) "MR"^(2)`
`:." " I=(1)/(2)xxpixx(20)^(2)xx10xx9xx(20)^(2)`
= `22.6xx10^(6)"g.cm"^(2).`
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