An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4.5 ft long with a diameter of 1.4 ft. Suppose oil is drained at a rate of 1.7 ft per minute. If the tank starts completely full, how many minutes will it take to empty the tank?

Hey there! I'm happy to help!

First, let's find the volume of the cylindrical tank.

To find the volume of a cylinder, take the area of the circle base and multiply it by the height of the cylinder.

To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14).

The diameter is always twice the radius, so we divide by two to find the radius.

1.4/2=0.7

We square this.

0.7²=0.49

And we multiply by 3.14.

0.49×3.14=1.5386

Now that we have the area of the circle, we multiply by the height (length in our case since the cylinder is sideways).

1.5386×4.5=6.9237

Now, we see that we will be losing 1.7 feet every minute. To see how many times 1.7 feet goes into our cylinder, we just divide!

6.9237÷1.7= 4.07276470588

So we see that it will take just over 4 minutes for the tank to empty.

Have a wonderful day and keep on learning! :D

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step-by-step explanation:

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