Answer:
1,178 cubic feet
Explanation:
volume of cylinder is given by following formula
volume =
![\pi r^2l](https://img.qammunity.org/2021/formulas/mathematics/high-school/efa4x8wgvxvlu5s9kwe4gk5cheefv7oahi.png)
where r is the radius for cylinder and l is the height of cylinder.
____________________
given
diameter of cylinder = 10 feet
radius is half diameter
thus, radius = diameter/2 = 10/2 = 5 feet
height of the cylinder = 15 feet.
![volume = \pi r^2l\\=> volume = 3.14* 5^2*15\\=> volume = 3.14* 25*15 = 1,177.5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2evwwl8pv9hg1907um7uuligrcfurrisbc.png)
Thus, volume of cylinder is 1,177.5 cubic feet
volume of cylinder,rounded to the nearest cubic foot, is 1,178 cubic feet.