An insulated cylindrical vessel filled with an insulated piston of negligible weight and negligible thickness at the mid point of the vessel. The cylinder contains a gas at $0^{\circ}C$. When the gas is heated to $100^{\circ}$, the piston moves through a length of $5 \;cm$. Length of the cylindrical vessel is cm is :

Question

\[\begin {array} {1 1} (a)\;13.65 & \quad (b)\;27.3 \\ (c)\;38.6 & \quad (d)\;64.6  \end {array}\]