Question

A cylinder has a diameter of 14 ft and a height of 10 ft.

What is the volume of the cylinder?

Answer 1

The answer is 140 feet because 10×14 is 140

Answer 2

Answer: the volume is approximately 1539.4 cubic feet

Explanation:

The formula for the volume of a cylinder:

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

where r is the radius (hald of the diameter), and h is the height.

In this formula,
`\pi r^2` is the area of the circular base. Multiplied by the height makes that to a measure of volume.

We are given the diameter of 14ft, so r = 14/2 ft = 7ft, and height h=10 ft. So:

`V = \pi \cdot 7^2 \cdot 10 \approx 1539.4\,\,\, \mbox{ft}^3`