A farmer uses 165000l (litres) of water per day for irrigation. The farmer would like to construct a conical tank to reserve water for a period of 90 days. The radius of the conical tank is estimated to be 21 . m Determine the following: 4.1 The maximum volume of water the reservoir must hold to be able to irrigate for 90 days.

To determine the maximum volume of water the conical reservoir must hold to support irrigation for 90 days, we first calculate the total water usage over this period. The farmer uses 165,000 liters of water per day. Therefore, for 90 days, the total water requirement is:

165,000liters/day×90days=14,850,000liters

Since water volume is often measured in cubic meters for such large quantities, and knowing that 1 cubic meter is equivalent to 1,000 liters, we convert the total volume from liters to cubic meters:

14,850,000liters÷1,000=14,850cubic meters

Therefore, the conical tank must have a capacity to hold a maximum volume of 14,850 cubic meters of water to ensure the farmer can irrigate for 90 days.