Answer:
The volume of this cylinder is 9184.5 cubic feet.
Step-by-step explanation:
The area of a circle is [tex]\pi r^2[/tex] and the volume of a cylinder with that base is just that area times the height:
[tex]V=\pi r^2\times h[/tex]
Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:
[tex]r=30\times0.5=15[/tex]
Next, you can use that radius to calculate the area of the base:
[tex]A=3.14\times15^2\\A=3.14\times225\\A=706.5[/tex]
Finally, multiply that by the height to find the volume of the cylinder:
[tex]V=706.5\times13\\V=9184.5[/tex]
The volume of this cylinder is 9184.5 cubic feet.
