here,
radius of cyclinder,rc = 4.09 cm = 0.0409 m
radius of spherical shell , rs = 7.47 cm = 0.0747 m
the total kinetic energy of cyclinder , KEc = 0.5 * m * vc^2 + 0.5 * Ic* wc^2
KEc = 0.5 * m * (rc * wc)^2 + 0.5 * ( 0.5 * m * rc^2) * wc^2
KEc = 0.75 * m * ( rc*wc)^2
the total kinetic energy of sphereical shell, KEs = 0.5 * m * vs^2 + 0.5 * Is* ws^2
KEs = 0.5 * m * (rs * ws)^2 + 0.5 * ( 0.67 * m * rs^2) * ws^2
KEs = 0.83 * m * ( rs*ws)^2
as they have the same total kinetic energy
KEc = KE
0.75 * m * ( rc*wc)^2 = 0.83 * m * ( rs*ws)^2
0.75 * ( 0.0409 *wc)^2 = 0.83 * ( 0.0747*ws)^2
wc /ws = 1.92
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