Question

You work in the oil industry. Oil is stored in a large cylindrical tank but is being transferred to cylindrical barrels. Each barrel has a height of 26 inches and a diameter of 24 inches. Approximately how many cubic feet of oil will fit in each barrel?

2.3
6.8
27.2
11,756.2
47,024.6

Answer 1

• 6.8 cubic. feet

Explanation:

To find how many cubic feet of oil will fit in each barrel we need to calculate the volume of the cylindrical barrel.

From the given question Each barrel has a height of 26 inches and a diameter of 24 inches.

In feet,

• Height = 2.166 feet

Radius is half of diameter i.e 24/2 = 12 inch

• 12 inch = 1 feet

Volume of cylinder is calculated by the formula πr²h.

On solving we get

`= 3.14 * {(1)}^(2) * 2.166 \\`

`= 3.14 * 2.166`

`= 6.801`

`\red{ \approx 6.8 \: {ft}^(3)}`

Hence 6.8 cubic feet of oil will fit in each barrel