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.

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 =
`(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 = (d)/(2)`

`r = (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)

=
`(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.