Respuesta :
Explanation:
Density is defined as the mass of the substance divided by the volume of the substance.
Mathematically, Density = [tex]\frac{mass}{volume}[/tex]
Since, it is given that mass is 18,754 kg and density is 0.788 g/[tex]cm^{3}[/tex]. We know that there are 1000 grams in 1 kg.
So, 18,754 kg equals 18,754000 grams.
Hence, calculate the volume of the waste collection tank as follows.
Density = [tex]\frac{mass}{volume}[/tex]
0.788 g/[tex]cm^{3}[/tex] = [tex]\frac{18754000 g}{volume}[/tex]
volume = 23799492.38 [tex]cm^{3}[/tex]
It is known that 1 [tex]cm^{3}[/tex] equals 0.001 liter. So, 23799492.38 [tex]cm^{3}[/tex] equals 23799.49 liters.
Thus, we can conclude that volume of the waste collection tank is 23799.49 liters.
Answer : The volume of the waste collection tank is 23799.5 L
Explanation :
Density : It is defined as the mass contained per unit volume.
Formula used for density :
[tex]Density=\frac{Mass}{Volume}[/tex]
Given :
Mass of methanol = 18754 kg = 18754000 g (1 kg = 1000 g)
Density of methanol = [tex]0.788g/cm^3[/tex]
Now put all the given values in the above formula, we get:
[tex]0.788g/cm^3=\frac{18754000g}{Volume}[/tex]
[tex]Volume=23799492.38cm^3=23799492.38mL=23799.5L[/tex]
Conversion used : [tex](1cm^3=1mL=0.001L)[/tex]
Therefore, the volume of the waste collection tank is 23799.5 L
