Hello!
[tex]\large\boxed{V = 471cu ft}[/tex]
Find the volume of the cylinder using the formula:
[tex]V = h(\pi r^{2})[/tex]
We are given the diameter, so solve for the radius:
[tex]d = 2r\\\\10 = 2r\\\\r = 5 ft[/tex]
Use the given height and radius to solve for the volume:
[tex]V = 6(5^{2}\pi )\\V = 6 * 25\pi \\\\V = 471 cu ft[/tex]
