Given:
Given that the radius of the cylinder is 4 cm.
The height of the cylinder is 9 cm.
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 of the cylinder.
Substituting π = 3.14, r = 4 and h = 9 in the above formula, we get;
[tex]V=(3.14)(4)^2(9)[/tex]
[tex]V=(3.14)(16)(9)[/tex]
[tex]V=452.16 \ cm^3[/tex]
Thus, the volume of the cylinder is 452.16 cm³
Hence, Option B is the correct answer.