Answer:
It,ll take 2.71 years to leak out 1500 L
Explanation:
Given
[tex]Rate = 1054.2\ mm^3/min[/tex]
Required
Determine how long it'll take for 1500L to get leaked
[tex]Rate = Volume/Duration[/tex]
Substitute 1500L for Volume
[tex]Rate = 1500L/Duration[/tex]
Convert 1500 L to dm³
[tex]Rate = 1500dm^3/Duration[/tex]
Convert dm³ to mm³
[tex]Rate = \frac{1500 * 1000000mm^3}{Duration}[/tex]
Equate both rates
[tex]\frac{1500 * 1000000mm^3}{Duration} = \frac{1054.2mm^3}{min}[/tex]
Cross Multiply
[tex]Duration * 1054.2mm^3 = 1500 * 1000000mm^3 * 1min[/tex]
[tex]Duration * 1054.2 = 1500 * 1000000 * 1min[/tex]
[tex]Duration * 1054.2 = 1500000000 * 1min[/tex]
Divide both sides by 1054.2
[tex]Duration = \frac{1500000000\ min}{1054.2}[/tex]
[tex]Duration = 1422879.90894 min[/tex]
Convert minutes to years
[tex]Duration = \frac{1422879.90894\ years}{525600}[/tex]
[tex]Duration = 2.70715355582\ years[/tex]
[tex]Duration = 2.71\ years[/tex] (Approximated)
