A swimming pool contains 375000L of water. It has a base of 25m by 10m and the same depth all over. How deep is the pool?
Answers
Answer:The dimensions of the pool are 40m long and 15m wide. The bottom of the pool is 3m deep at the deep end and just 1.5m deep at the shallow end. The bottom of pool slopes uniformly from deep end to the shallow end.
Imagine a plane surface 40m long and 15m wide running inside the water, from the bottom of the shallow end and parallel to the top surface of the water in the pool up to the deeper end of the pool. This imaginary surface, top water surface, and side walls of the pool constitute a paralleopiped of water of dimensions 40m×15m×1.5m = 900 cubic metre of water
Besides we have a right triangle shaped section of water of dimensions 40m long × 1.5m height × 15m wide. The volume contained in this section is area of the trianglur section multiplied by width. Now area = ½ ×40m×1.5m=30m². Multiplying by width of 15m, we shall get the volume of this section = 30m² × 15m= 450 m³.
So total amount of water require to fill it to the brim = 900m³ + 450m³ = 1350 m³ = 1350×10^6 cc = 1350×10³ litre of water = 1.35×10^6 litre of water.
Explanation: