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30 June, 17:57

An Olympic-size pool is 50.0 m long and 25.0 m wide.

a. How many gallons of water (density = 1.0 g/mL) are needed to fill the pool to an average depth of 4.8 ft?

b. What is the mass, in kg, of water in the pool?

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  1. 30 June, 18:05
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    1. To calculate the volume of the pool you need to convert the length, width and height into one same unit. The volume would be:

    volume = length * width * height

    volume = 50m * 25m * (48ft * 0.3048m) = 18288m^3

    volume in gallons = 18288m^3 * (264.172 gallons/m^3) = 483.118 gallons

    2. The mass would be found by multiplying density with volume. You will need to some unit conversion to get the mass in kilogram. Remember that 1g = 1000kg and 1m^3 = 1,000,000ml

    mass = volume * density

    mass = 18288m^3 * (10^6 ml^3/m^3) * 1.0 g/mL / (1000g/kg) = 18,288,000 kg
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