Surface Area of a Right Circular Cylinder A right circular cylinder has two circular bases, connected by a curved lateral surface. The surface area of a righ...
A right circular cylinder has two circular bases, connected by a curved lateral surface. The surface area of a right circular cylinder can be found by calculating the total area of both its bases and the lateral surface.
Formula:
where:
S is the surface area
r is the radius of the circular base
h is the height of the cylinder
Explanation:
Two bases: The surface area is composed of two circular bases, each with area (\pi r^2).
Lateral surface: The lateral surface consists of the curved perimeter of the circular base. The perimeter of a circle is (2\pi r), so the total area of the lateral surface is (\pi r).
Putting it all together: We add the areas of the bases and the lateral surface to get the total surface area.
Examples:
Remember:
The surface area of a right circular cylinder is always greater than the surface area of a circle with the same radius.
The surface area of a cylinder can also be found using the formula (S = \pi(d^2)), where (d) is the diameter of the circular base