SUMMARY
The weight of a bucketful of water is determined by calculating the volume of water that the bucket can hold and then multiplying that by the density of water. Given that the bucket is a hemisphere with a diameter of 2 meters, its volume is approximately 6.28 cubic meters. The mass of the water can be calculated using the formula W = m * g, where m is the mass of the water (density multiplied by volume) and g is the acceleration due to gravity (9.8 m/s²). The total weight includes both the weight of the water and the mass of the bucket itself, which is 25 kg.
PREREQUISITES
- Understanding of basic physics concepts such as weight and mass
- Knowledge of volume calculations for geometric shapes, specifically hemispheres
- Familiarity with the density of water (approximately 1000 kg/m³)
- Ability to apply the formula W = m * g for weight calculations
NEXT STEPS
- Calculate the volume of a hemisphere using the formula V = (2/3)πr³
- Learn about the properties of water, including its density and how it affects weight calculations
- Explore the implications of weight in practical applications, such as firefighting with helicopters
- Study the principles of buoyancy and how they relate to objects submerged in water
USEFUL FOR
Students studying physics, educators teaching concepts of weight and volume, and professionals involved in firefighting logistics or water resource management.