Application Of Derivatives

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