46.5k views
3 votes
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3 ft long with a diameter of 1.8 ft. Suppose oil is drained at a rate of 1.7 ft³ per minute. If the tank starts completely full, how many minutes will it take to empty the tank? Use the value 3.14 for pi, and round your answer to the nearest minute. Do not round any intermediate computations.

User Negi Rox
by
8.0k points

1 Answer

3 votes

Answer:

4 minutes

Explanation:

You want to know how long it takes to drain a cylindrical tank 1.8 ft in diameter and 3 ft long at the rate of 1.7 ft³/minute. (π = 3.14)

Volume

The volume of a cylinder can be found using the formula ...

V = (π/4)d²h . . . . . . . diameter d, height h

Then the volume of the oil tank is ...

V = 3.14/4(1.8 ft)²(3 fft) = 7.6302 ft³

Time

The time it takes to empty the tank is found by dividing the volume by the rate:

(7.6302 ft³)/(1.7 ft³/min) ≈ 4.49 min ≈ 4 min

It will take about 4 minutes to empty the tank.

<95141404393>

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder-example-1
User Majid Hajibaba
by
7.8k points