Answer:
[tex]m=1.779x10^{6}kg[/tex]
Explanation:
Hello,
In this case, mass and volume define density as shown below:
[tex]\rho =\frac{m}{V}[/tex]
Whereas the mass is computed by:
[tex]m=\rho *V[/tex]
Thus, knowing the dimensions of the pool, we compute its volume:
[tex]V=41.4m*28.2m*(5.00ft*\frac{1m}{3.281ft} )=1779.15m^3[/tex]
But in cubic centimetres:
[tex]V=1779.15m^3*\frac{1x10^6cm}{1m^3} \\\\V=1.779x10^{9}cm^3[/tex]
Therefore, the mass in kilograms turns out:
[tex]m=1\frac{g}{cm^3} *1.779x10^{9}cm^3*\frac{1kg}{1000g}\\ \\m=1.779x10^{6}kg[/tex]
Regards.
