Question

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3ft long with a diameter of 2.2 ft . Suppose oil is drained at a rate of 2.5ft^3 per minute. If the tank starts completely full, how many minutes will it take to empty the tank?

Answer 1

4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 $ft^{3}$ 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 $ft^{3}$ per minute.

Step:1

       Time taken to dry the oil tank is,

                           T   = $\frac{Volume of oil}{Oil drain rate}$  ....................................(1)

Step:2

      Volume of the oil is,

                           $V = \pi r^{2} h$.................................................(2)

      Where, r - Radius of Cylinder

                             $r = \frac{d}{2}$

                             $r = \frac{2.2}{2}$

                             r = 1.1 ft

      From eqn (1),

                        V =  $\pi$ × $1.1^{2}$ × 3

                           = 11.40398 $ft^{3}$

Step:3

     From equation (1)

                           = $\frac{11.40398}{2.5}$

                           = 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.