(a) A family living in a suburb has a circular pool with dimensions as shown below. The pool is situated in the middle of the yard and it also has a circular fence around it. The fence is 2 metres from the pool. Diameter or length of pool = 480 cm You may use the following formula: Volume of circular pool = 7 x radius x radius x depth, where π = 3.142 Circumference of the fence = 2 x 7 x radius, where π = 3.142
(i) The capacity of the pool is 30 000 litres. Calculate to the nearest metre the depth of the pool. (5)
(ii) To clean the pool they use HTH (a chemical). The chemical is sold in 10 kg bags. They use 40g of chemical per 10 000 litres water per day. Verify, with the necessary calculations, whether the 10 kg bag will be enough for the month of March. (3)
(iii) The labour cost for the fencing including the gate is E125 per metre. Calculate the cost for fencing the pool. (2)​