Calculate surface area and volume of a cylinder.
The Cylinder Area Calculator is a geometric utility designed to calculate the total surface area and lateral surface area of a right circular cylinder. A cylinder is a three-dimensional solid bounded by two parallel circular bases of equal radius (r) and a curved lateral surface connecting them. The parameters defining a cylinder are its base radius (r) and its height (h), representing the vertical distance between the two circular bases.
The total surface area (A) of a cylinder is the sum of its base areas and its curved lateral area. The two circular bases each have an area of πr², summing to 2πr². The lateral surface area, which can be visualized as a rolled-up rectangle with a width equal to the base circumference (2πr) and a height equal to the cylinder height (h), is calculated as A_lateral = 2πrh. The total surface area formula is therefore: A_total = 2πr² + 2πrh = 2πr(r + h).
Cylinder surface area calculations are essential in manufacturing, chemical engineering, and construction. They are used to estimate the paint required for storage tanks, the metal needed to manufacture pipes or soda cans, and the heat dissipation of industrial boilers. The cylinder area calculator automates these computations, providing instant results for both lateral and total surface area, ensuring precision in engineering layout designs.
Cylinder Calculations
A cylinder is a solid with two parallel circular bases of equal size.
- Volume:
V = π × r² × h - Surface Area:
A = 2πr² + 2πrh = 2πr(r + h)
How it Works & Formula
Computes surface area (lids + tube) and internal volume capacity of a cylinder.
Practical Examples
Radius 3 cm, height 12 cm: Volume = π × 3² × 12 ≈ 339.29 cm³.
Frequently Asked Questions
What is the lateral area of a cylinder?
The area of the curved sides only, excluding the top and bottom circles: LA = 2πrh.