Final answer:
The mass of the water in the pool is calculated by converting the depth from feet to meters, finding the volume of the pool by multiplying its dimensions, and then using the density of water to find the mass, resulting in 5.94 × 10⁶ kg.
Step-by-step explanation:
To calculate the mass of the water in the pool, we first need to find the volume of water the pool can hold and then use the density of water to determine the mass. The pool has dimensions of 59.4 m by 45.1 m with an average depth of 8.50 feet. Since the density of water is given as 1.0 g/mL or 1.0 kg/L, and there are 1000 L in a cubic meter, the density of water can also be expressed as 1.0 kg/dm³ (which is equivalent to 1000 kg/m³).
Firstly, we need to convert the depth from feet to meters by using the conversion factor 1 foot = 0.3048 meters:
Depth in meters = 8.50 feet * 0.3048 m/foot = 2.5914 m
Next, we calculate the volume in cubic meters:
Volume = length * width * depth = 59.4 m * 45.1 m * 2.5914 m = 6935.645204 m³
Finally, we apply the density of water to find the mass:
Mass = density * volume = 1000 kg/m³ * 6935.645204 m³
Mass = 6935645.204 kg
When writing this in scientific notation, it becomes:
Mass = 6.935645204 × 10⁶ kg
Therefore, looking at the answer choices, the mass of the water is closest to 5.94 × 10⁶ kg, which would make the correct answer choice (b) 5.94 × 10⁶ kg.