A sphere is placed in a cone of height 12 cm. The volume of the sphere if it touches the lateral surface and base of the cone is _____ $cm^3$

Question

$(A) \; 683\; \pi \;cm^3 \\(B)\;68.3\;\pi \;cm^3 \\(C)\;6830 \; \pi \;cm^3 \\(D)\;6.83 \pi \;cm^3$