Question

A storage tank has a height of 10 feet and a diameter of 6 feet. The tank is half filled with oil. ,6 ft 10 ft Approximately how much oil, in cubic feet, is currently in the cylindrical tank?

Answer 1

To answer this question, we need to have into account the formula for the volume of a cylinder. This formula is given by:

`V=\pi\cdot r^2\cdot h`

1. We have that pi is approximately equal to 3.1415926535...

2. The radius is half of the diameter. In this case, the diameter is 6 feet. Therefore, the radius is 3 feet.

3. The height of the storage tank (cylinder) is h = 10 feet.

Hence, we can plug all of these values into the formula, and we can get the value for the total volume of this cylinder:

`V=\pi\cdot(3^{}ft)^2\cdot10ft\Rightarrow V=\pi\cdot9\cdot10\Rightarrow V=90\pi ft^3`

Now, since the tank is half-filled with oil, we have that the oil, in cubic feet, in the cylindrical tank is half of the value of the previous value, that is:

`(1)/(2)V=(1)/(2)\cdot(90\pi ft^3)=45\pi ft^3`

Hence, the current volume of oil in the cylindrical tank is:

`45\pi ft^3`

(Option C).