(a) Support a proposal for a community biogas plant based on the below data for cooking and domestic lighting. i. The gas needed for cooking/person/ day = 0.30 m3 ii. The gas needed for lighting 2 lamps/hour = 0.13 m3 iii. Each family gets to burn 2 lamps for 2 hrs/day The community comprises of 100 families with 4 members in each family. The total cattle population is listed in the table below. Assume that gas produced from 1kg of manure during summer and winter amounts to 55 litres and 42 litres respectively. Compute the diameter and height of the digester. Take (p of slurry (water + manure, 1:1 ratio) = 1090 kg/m3). No Animal Population Manure collected/animal 1 Buffalo 50 15 kg 2 Cows 202 10 kg 3 Oxen 120 12 kg 4 Pig 5 02 kg