A pump with \(D=500 \mathrm{~mm}\) delivers \(Q=0.725 \mathrm{~m}^{3} / \mathrm{s}\) of water at \(H=10 \mathrm{~m}\) at its best efficiency point. If the specific speed of the pump is 1.74 , and the required input power is \(90 \mathrm{~kW}\), determine the shutoff head, \(H_{0}\), and best efficiency, \(\eta\). What type of pump is this? If the pump is now run at \(900 \mathrm{rpm}\), by scaling the performance curve, estimate the new flow rate, head, shutoff head, and required power.