What does the 2πr2 in the formula represent in the problem context?

Question

The formula for the surface area of a right circular cylinder is SA = πr2 + 2πrh, where r and h are as represented to the right. What does the 2πr2 in the formula represent in the problem context?

Answer 1

The formula for the surface are of a cylinder is actually 2πrh+2πr², where 2πr² represents the combined area of both the bottom and top bases, since each of them has an area of πr². 2πrh represents the lateral surface area of the cylinder.

Answer 2

First let's say you have a circle the surface area would be πr²

But in a cylinder you have two circles hence it would be 2πr²

And since the cylinder is many circles stacked on top of each other, formula would be 2πrh+2πr²