- #1

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Here's how i approached...

clearly by symmetry, Xcm = 0

Now, Let M be the mass of the hemisphere so,

Density per unit volume, ρ = M/(2/3.π .r

^{3}) x 1/3.π.r

^{2}.(r/2) = M/4

Now, Ycm of remaining portion = {M(3R/8) - M/4(R/6)}/{M-M/4} = 4R/9

Thus, C.M of the remaining portion

__=__(0,4R/9)

But the result given by the source is 11R/24 from base...!!

Now where am i wrong????