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The density of water is 1.00 g/mL. If your swimming pool holds 208,000 gallons of water, what is the map that outlines the steps to find the weight of the water in a filled swimming pool in tons?

A. g → mL → L → gal → lb → tons
B. g → L → mL → gal → lb → tons
C. gal → mL → L → g → lb → tons
D. gal → L → mL → g → lb → tons

Answer :

Answer:

gal --> L --> mL --> g --> lb --> tons

Explanations:

The following for calculating the density is expressed as;

[tex]density=\frac{mass}{volume}[/tex]

Convert gallons to Litres

1 gallon = 3.785 liters

208,000 gallons = 787280Litres

Convert Litres to mL

[tex]\begin{gathered} 1L=1000mL \\ 787,280L=787280\times1000 \\ 787,280L=787,280,000mL \end{gathered}[/tex]

Determine the mass

[tex]\begin{gathered} Mass=density\times volume \\ Mass=\frac{1.00g}{mL}\times787,280,000mL \\ Mass=787,280,000g \end{gathered}[/tex]

Convert grams to pounds

[tex]\begin{gathered} Mass\text{ of water}=0.00220462\times787,280,000 \\ Mass\text{ of water}=1735653.23lb \end{gathered}[/tex]

Convert pounds to tons

[tex]\begin{gathered} Mass\text{ of water in ton}=0.0005\times1735653.23 \\ Mass\text{ of water in ton}=867.82tons \end{gathered}[/tex]

Based on the solution above, the correct map that outline the steps to find the weight of the water in a filled swimming pool in tons is gal --> L --> mL --> g --> lb --> tons

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