Given:
The diameter of the cylinder is 8 cm.
The radius of the cylinder is 4 cm.
The height of the cylinder is 18 cm.
We need to determine the surface area of the cylinder.
Surface area of the cylinder:
Let us determine the surface area of the cylinder.
The surface area of the cylinder can be determined using the formula,
[tex]SA=2 \pi r(r+h)[/tex]
where r is the radius of the cylinder and h is the height of the cylinder.
Substituting r = 4 and h = 18 in the above formula, we get;
[tex]SA=2 \pi (4)(4+18)[/tex]
[tex]SA=2 \pi (4)(22)[/tex]
[tex]SA=176 \pi[/tex]
Thus, the surface area of the cylinder is 176π cm²
Hence, Option d is the correct answer.
