The volume of the largest possible right circular cylinder that can be inscribed in a sphere of radius = $\;\sqrt{3}\;$ is :

Question

$(a)\;\large\frac{4}{3} \sqrt{3} \pi\qquad(b)\;\large\frac{8}{3} \sqrt{3} \pi\qquad(c)\;4\pi\qquad(d)\;2 \pi$