Question

A cylindrical container with a diameter of 0.5 feet and a height of 5 feet is filled with gas that costs $60 per cubic foot. What is the total value of the gas in the container if it's filled completely?

Total value in dollars, to the nearest penny:

Answer 1

Answer: $235,62

Explanation:

You need to use the formula for calculate the volume of a cylinder:

`V=\pi r^2h`

Where "r" is the radius and "h" is the height.

You know that the cylindrical container has a diameter of 0.5 feet and a height of 5 feet (Remember that the radius if half the diameter):

`r=(0.5ft)/(2)=0.25ft\\\\h=5ft`

Then, you need to substitute these values into
`V=\pi r^2h` to get the volume of the cylindrical container:

`V=\pi (0.5ft)^2(5ft)`

`V=3.92ft^3`

Since the gas costs $60 per cubic foot, you need to multiply the volume of the container by $60 to get the total value of the gas in the container if it's filled completely. Then:

`total\ value=(3.92)(\$60)=$235,62`