What is the Order of Magnitude of How Many Tennis Balls Would Fit in an Olympic-Sized Swimming Pool?
In a hypothetical scenario, the number of tennis balls that could fit into an Olympic-sized swimming pool is on the order of 10^7.
Calculations:
- Olympic-sized swimming pool dimensions: 50m x 25m x 2m (length x width x depth)
- Volume of pool: (50 x 25 x 2) m³ = 2,500 m³
- Volume of tennis ball: (3.25 cm radius) ≈ 0.0085 m³
Estimation:
Using the ratio of volumes, we can estimate the number of tennis balls that would fit:
Number of tennis balls ≈ Volume of pool / Volume of tennis ball
≈ 2,500 m³ / 0.0085 m³
≈ 294,117 balls
≈ 10^5 tennis balls
Approximation:
Therefore, the order of magnitude of the number of tennis balls that could fit in an Olympic-sized swimming pool is approximately 10^5.
Related Questions:
- How many cubic meters are in an Olympic-sized swimming pool?
- 2,500 cubic meters
- What is the volume of a tennis ball?
- Approximately 0.0085 cubic meters
- How many cubic centimeters are in a tennis ball?
- Approximately 85 cubic centimeters
- How many tennis balls would fit in a standard bathtub?
- Approximately 100-150 tennis balls
- How many tennis balls would fit in a standard washing machine?
- Approximately 50-75 tennis balls
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