Water is being filled at the rate of \( 1 \, \text{cm}^{3} / \text{sec} \) in a right circular conical vessel (vertex downwards) of height \( 35 \, \text{cm} \) and diameter \( 14 \, \text{cm} \). When the height of the water level is \( 10 \, \text{cm} \), the rate (in \( \text{cm}^{2} / \text{sec} \)) at which the wet conical surface area of the vessel increases is
