Correct option is: B) 54π
\(\because\) Volume of sphere = surface area of sphere
\(\Rightarrow\) \(\frac 43 \pi r^3\) = \(4 \pi r^2\)
\(\Rightarrow\)\(\frac {r^3}{r^2} = \frac {4 \pi}{\frac 43 \pi} = 3\)
\(\Rightarrow\) r = 3
Since, sphere of radius 3 unit exactly kept in a cylinder. It is possible only when
Radius of cylinder = r =3
And height of the cylinder = h = 2r = 6
\(\therefore\) Volume of such cylinder = \(\pi r^2h \)
= \(\pi \times 3^2 \times 6 = 54 \pi\) cubic unit.
