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,
![S=2 \pi r(r+h)](/tpl/images/0591/1864/c3a6c.png)
Substituting r = 5 and h = 8 in the above formula, we get;
![S=2(3.14)(5)(5+8)](/tpl/images/0591/1864/872e3.png)
![S=2(3.14)(5)(13)](/tpl/images/0591/1864/d4b09.png)
![S=408.2](/tpl/images/0591/1864/4a6f8.png)
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,
![V=\pi r^2 h](/tpl/images/0591/1864/9b2a6.png)
Substituting r = 5 and h = 8 in the above formula, we get;
![V=(3.14)(5)^2(8)](/tpl/images/0591/1864/d2afc.png)
![V=(3.14)(25)(8)](/tpl/images/0591/1864/97848.png)
![V=628](/tpl/images/0591/1864/f8b10.png)
Thus, the volume of the cylinder is 628 cubic units.