Volume of the tank = 6 × 3 × 2 = 36m3
∴ mass of water to be lifted
= V × d = 36 × 103 kg
∴ Work done = mg × h
= 36 × 103 × 9.8 × 110
Power of the pump = \(\frac{w}{t}\)
= \(\frac{36 \times 9.8\times1.1 \times 10^5}{30 \times60}\)= 0.216 × 105W
=\(\frac{0.216\times 10^5}{30 \times746}\) = \(\frac{21600}{746}\)
28.9 HP.