A horizontal venturi meter with inlet diameter $25$ cm and throat diameter $15$ cm is used to measure the flow of water. The pressure at the inlet is $17\mathrm{.}658\frac{N}{c}{m}^2$ and the vacuum pressure head at the throat is $35$ cm of mercury. Compute the discharge of water through venturi meter. Take coefficient of discharge as $C_d=0\mathrm{.}98.$