Answer: Base Surface Area:
The base surface area of a cylinder consists of two circles (top and bottom). Since the can is cylindrical, we have two identical circular bases. The formula for the base surface area is: Base Area=2πr2
where (r) represents the radius of the circular base.
Lateral Surface Area:
The lateral surface area of the cylinder is the area of the rectangle that wraps around the can. It is given by: Lateral Area=2πr⋅h
where (h) represents the height of the cylinder.
Total Surface Area: The total surface area of the cylinder is the sum of the base surface area and the lateral surface area:
Total Area=Base Area+Lateral Area=2πr2+2πr⋅h
Step-by-step explanation:
Total Area=Base Area+Lateral Area=2πr2+2πr⋅h