Final answer:
The base of a cylinder lies in the x-y plane and is centered, so the cylinder is symmetric about the x-y plane. The volume of a cylinder is calculated using the formula V = πr²h, and the surface area is calculated using the formula A = 2πrh + 2πr².
Step-by-step explanation:
The base of a cylinder lies in the x-y plane and is centered, so the cylinder is symmetric about the x-y plane. This means that the volume calculation and surface area calculation are both relevant to the cylinder. The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. The surface area of a cylinder is calculated using the formula A = 2πrh + 2πr², where r is the radius of the base and h is the height of the cylinder.