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.
