Respuesta :

Answer:

Approximately 1130 cubic feet.

Step-by-step explanation:

The volume of a cylinder is the area of its base times its height.

The height of this cylinder is given to be 10 feet. What's the area of its base?

The base of a cylinder is a circle. The area of a circle with radius [tex]r[/tex] is equal to [tex]\pi \cdot r^{2}[/tex]. For the base of this cylinder, [tex]r = 6[/tex] feet. The question also dictates that [tex]\pi = 3.14[/tex]. The area of each circular base will thus be:

[tex]\text{Base} = \pi\cdot r^{2} = 3.14 \times 6^{2} = 113.04[/tex] square feet.

The volume of this cylinder will be

[tex]\text{Volume} = \text{Base}\times \text{Height} = 113.04\times 10 \approx 1130[/tex] cubic feet.