Cylinder Calculator
Calculate the total surface area, lateral surface area, and volume of a right circular cylinder from its radius and height.
About this Calculator
Calculate the total surface area, lateral surface area, and volume of a right circular cylinder from its radius and height.
Formula & Calculations
Formula
Volume = πr²h; Lateral Area = 2πrh; Total Surface Area = 2πr² + 2πrh = 2πr(r+h)Where:
- r=Radius of the cylinder's base
- h=Height of the cylinder
- V=Volume of the cylinder
- LA=Lateral surface area (area of the curved side)
- SA=Total surface area (top + bottom + lateral)
Assumptions
- The cylinder is a right circular cylinder with flat circular ends perpendicular to the axis.
- π is approximated as 3.1415926536 (Math.PI).
- All measurements use consistent units; output uses the corresponding square/cubic units.
Calculation Examples
Example 1
V = π × 16 × 10 ≈ 502.6548. LA = 2π × 4 × 10 ≈ 251.3274. SA = 2π × 4 × (4+10) ≈ 351.8584.
Example 2
V = π × 6.25 × 8 ≈ 157.0796.
Frequently Asked Questions
What is the difference between lateral area and total surface area?
Lateral area is the area of just the curved side surface (2πrh). Total surface area adds the areas of the two circular bases (2πr² + 2πrh), giving the total surface of the cylinder.
Does this calculator work for oblique cylinders?
No, this calculator is designed for right circular cylinders where the sides are perpendicular to the bases. An oblique cylinder with the same height has the same volume but a different lateral surface area.