Rationalise (2sqrt(3) - 5sqrt(2))/(sqrt(3) + 2sqrt(2)) the denominator
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⟼Volume of cylinder = 6538 cm3
\longmapsto\sf Height\ of\ cylinder\ =\ 28 cm⟼Height of cylinder = 28cm

\longmapsto\sf Radius\ of\ cylinder\ =\ ??⟼Radius of cylinder = ??
{\huge{\underline{\mathbb{FORMULA\ USED}}}}FORMULA USED
Volume\ of\ cylinder\ =\pi {r}^{2}hVolume of cylinder =πr2h
{\huge{\underline{\mathbb{SOLUTION}}}}SOLUTION
Let the radius be r m
According\ to\ given\ conditionsAccording to given conditions

=>\pi {r}^{2}h=6538=>πr2h=6538
=>{r}^{2}=\frac{6538×7}{22×28}=>r2=22×286538×7
=>r=\sqrt{72.25}=>r=72.25
Hence, radius= \boxed{8.5}8.5
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