The state of texas covers approxmiately 268,58 squared mi. During a hail storm the entire state is covered in 1billion meters of hail.(average radius of 1.4292cm)assume the hail falls so that the gaps of air are limited to 26% of the volume. As the state begins to warm, the hail melts.(piece of ice =.92g/mL)Determine the number of hail stones required
268,581*** squared miles
To determine the number of hail stones required to cover the entire state of Texas, we need to calculate the volume of the hail and then divide it by the volume of a single hail stone.
1. Calculate the volume of the hail:
The entire state of Texas is covered by 1 billion meters of hail, which can be converted to kilometers by dividing by 1000.
Volume of hail = 1 billion meters * (1 km/1000 m)^3
2. Calculate the volume of a single hail stone:
The hail stones are assumed to have an average radius of 1.4292 cm, which can be converted to meters by dividing by 100.
Volume of a hail stone = (4/3) * pi * (radius)^3
3. Calculate the number of hail stones required:
Divide the volume of the hail by the volume of a single hail stone:
Number of hail stones = Volume of hail / Volume of a hail stone
Let's calculate the number of hail stones required step by step using the given values:
1. Conversion from meters to kilometers:
Volume of hail = 1 billion meters * (1 km/1000 m)^3
= 1 billion * (1/1000)^3 km^3
= 1 * (1/1000)^3 billion km^3
2. Conversion from centimeters to meters:
Radius of hail stone = 1.4292 cm * (1 m/100 cm)
= 1.4292/100 m
3. Calculating the volume of a hail stone:
Volume of a hail stone = (4/3) * pi * (radius)^3
= (4/3) * pi * (1.4292/100)^3
4. Calculating the number of hail stones required:
Number of hail stones = Volume of hail / Volume of a hail stone
Substitute the calculations back in to find the final result.