Answer :
Final answer:
The mass of the water in the pool is calculated by first converting the depth to meters, then multiplying the pool's dimensions to find the volume, and finally multiplying the volume by the density of water. The mass is approximately 1,121,555.2 kg, which is also 1.2 × 10⁷ kg.
Explanation:
To find the mass of the water in the pool, we need to calculate the volume of the pool in cubic meters. First, we convert the depth from feet to meters:
3.50 ft × 0.3048 m/ft = 1.0676 m
Then, we calculate the volume using the dimensions provided:
Volume = Length × Width × Depth
Volume = 41.6 m × 25.3 m × 1.0676 m
Volume = approximately 1121.5552 m³
Next, we calculate the mass:
Mass = Volume × Density
Since water has a density of 1,000 kg/m³, we get:
Mass = 1121.5552 m³ × 1,000 kg/m³
Mass = approximately 1,121,555.2 kg or 1.2 × 10⁷ kg
