Answer: the volume is approximately 1539.4 cubic feet
Explanation:
The formula for the volume of a cylinder:
[tex]V = \pi r^2\cdot h[/tex]
where r is the radius (hald of the diameter), and h is the height.
In this formula, [tex]\pi r^2[/tex] 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:
[tex]V = \pi \cdot 7^2 \cdot 10 \approx 1539.4\,\,\, \mbox{ft}^3[/tex]
