Olympic Size Pool Capacity and Water Mass Calculation

Question:

What is the capacity of an Olympic size pool in US gallons and total mass of the water in kilograms?

Answer:

The capacity of the Olympic size pool is approximately 5,026,543.9 US gallons, and the total mass of the water is approximately 19,255,500 kilograms.

To calculate the capacity of the pool in US gallons, we first need to convert the depth from feet to meters. Given that the average depth is 5 feet, we can use the conversion factor 1 ft = 0.3048 m. Therefore, the depth in meters is 5 ft * 0.3048 m/ft = 1.524 m.

Next, we can calculate the volume of the pool by multiplying its length, width, and depth. The length is 50 m, the width is 25 m, and the depth is 1.524 m. Therefore, the volume is 50 m * 25 m * 1.524 m = 19050 cubic meters.

To convert the volume from cubic meters to US gallons, we can use the conversion factor 1 cubic meter = 264.172 US gallons. Therefore, the capacity of the pool in US gallons is 19050 cubic meters * 264.172 US gallons/cubic meter = 5026543.9 US gallons.

To calculate the total mass of the water in kilograms, we can multiply the volume by the density of water. The density of water is given as 1.01 g/cm³. Since 1 cubic meter is equal to 1000000 cubic centimeters, the density in g/m³ is 1.01 g/cm³ * 1000000 cm³/m³ = 1010000 g/m³.

Therefore, the total mass of the water in kilograms is 19050 cubic meters * 1010000 g/m³ = 19255500000 grams, which is equivalent to 19255500 kilograms.