Thank you for visiting Be sure to answer all parts A pool is 33 7 m long and 36 6 m wide If the average depth of water is. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
To find the mass of water in the pool, we multiply 33.7 m (length) by 36.6 m (width) by 2.62128 m (average depth) to get the volume of water. Then we multiply the volume by the density of water (1.0 g/mL) to convert it to kilograms, resulting in a mass of 2.60546825 × 10^7 kg.
Explanation:
To calculate the mass of water in the pool, we need to find the volume of water first. The volume of water can be found by multiplying the length, width, and average depth of the pool. Once we have the volume, we can convert it to kilograms by using the density of water.
Given:
- Pool length = 33.7 m
- Pool width = 36.6 m
- Average depth of water = 8.60 ft
- Density of water = 1.0 g/mL
First, convert the average depth of water from feet to meters: 8.60 ft * 0.3048 m/ft = 2.62128 m.
Now, calculate the volume of water: Volume = length * width * depth = 33.7 m * 36.6 m * 2.62128 m = 26054.6825 m³.
Finally, convert the volume to kilograms using the density of water: Mass = Volume * Density = 26054.6825 m³ * 1.0 g/mL * 1000 kg/m³ = 26054682.5 kg.
Therefore, the mass of water in the pool is 2.60546825 × 10^7 kg.
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