Given:
The radius of the cylinder is 5 units.
The height of the cylinder is 8 units.
We need to determine the surface area and the volume of the cylinder.
Surface area of the cylinder:
The surface area of the cylinder can be determined using the formula,
[tex]S=2 \pi r(r+h)[/tex]
Substituting r = 5 and h = 8 in the above formula, we get;
[tex]S=2(3.14)(5)(5+8)[/tex]
[tex]S=2(3.14)(5)(13)[/tex]
[tex]S=408.2[/tex]
Thus, the surface area of the cylinder is 408.2 square units.
Volume of the cylinder:
The volume of the cylinder can be determined using the formula,
[tex]V=\pi r^2 h[/tex]
Substituting r = 5 and h = 8 in the above formula, we get;
[tex]V=(3.14)(5)^2(8)[/tex]
[tex]V=(3.14)(25)(8)[/tex]
[tex]V=628[/tex]
Thus, the volume of the cylinder is 628 cubic units.