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

Step-by-step 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):

$r=\frac{0.5ft}{2}=0.25ft\\\\h=5ft$

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:

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