Given:
The radius of the cylinder is 8 inches.
The height of the cylinder is 10 inches.
We need to determine the volume of the cylinder.
Volume of the cylinder:
The volume of the cylinder can be determined using the formula,
[tex]V=\pi r^2 h[/tex]
where r is the radius and h is the height.
Substituting [tex]r=8[/tex] and [tex]h=10[/tex] in the above formula, we get;
[tex]V= \pi (8)^2 (10)[/tex]
Simplifying, we get;
[tex]V=\pi (64)(10)[/tex]
Multiplying, we get;
[tex]V=640 \pi[/tex]
Thus, the volume of the cylinder is 640π in³
Hence, Option C is the correct answer.