Surface Area of a Right Cylinder
How to find the surface area of a right cylinder: definition, formula, example, and its solution.
A cylinder is a 3D figure
a pair of circle [bases] (brown)
and a [lateral face]
which is adjacent to both bases.
The [bases] are congruent and parallel.
A right cylinder is a cylinder
whose centers of the bases
are the endpoints of the height.
So, just like a right prism,
the lateral face of a right cylinder is a rectangle
that is perpendicular to the bases.
Surface area of a right prism
A = 2⋅πr2 + 2πr⋅h
A: Surface area of a right cylinder
r: Radius of the base
h: Height of the right cylinder
2⋅πr2: Sum of the base areas
2πr⋅h: Lateral area
r = 4
h = 9
So A = 2⋅π⋅42 + 2π⋅4⋅9.
42 = 16
4⋅9 = 36
2⋅16 = 32
2⋅36 = 72
32 + 72 = 104
So A = 104π.