A single acting reciprocating pump running at 50 rpm delivers \(0.10 \mathrm{~m}^{3} / \mathrm{sec}\) of water. The diameter of the piston is \(600 \mathrm{~mm}\) and the stroke length is \(500 \mathrm{~mm}\). Determine: (i) the theoretical discharge, (ii) percentage slip, and (iii) coefficient of discharge.