Respuesta :
4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 [tex]ft^{3}[/tex] per minute.
Step-by-step explanation:
       The given is,
             Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.
             Oil drained at a rate of 2.5 [tex]ft^{3}[/tex] per minute.
Step:1
    Time taken to dry the oil tank is,
              T  = [tex]\frac{Volume of oil}{Oil drain rate}[/tex]  ....................................(1)
Step:2
   Volume of the oil is,
              [tex]V = \pi r^{2} h[/tex].................................................(2)
   Where, r - Radius of Cylinder
               [tex]r = \frac{d}{2}[/tex]
               [tex]r = \frac{2.2}{2}[/tex]
               r = 1.1 ft
   From eqn (1),
            V =  [tex]\pi[/tex] × [tex]1.1^{2}[/tex] × 3
              = 11.40398 [tex]ft^{3}[/tex]
Step:3
   From equation (1)
              = [tex]\frac{11.40398}{2.5}[/tex]
              = 4.56
              = 4.56 minutes
           T  = 4 minutes 34 seconds
Result:
   Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.
