Cylinder Volume Calculator
Calculate the volume and surface area of a cylinder from its radius and height. Instant results with formulas explained.
Enter the radius and height of the cylinder
Volume
—
Total Surface Area
—
Lateral Surface Area
—
Base Area
—
Cylinder Formulas
Total Surface Area = 2πr² + 2πrh = 2πr(r + h)
Lateral Surface Area = 2πrh
Base Area = πr²
Volume = π × 16 × 10 = 160π ≈ 502.6548 cubic units
Total Surface Area = 2π × 4 × (4 + 10) = 112π ≈ 351.8584 square units
Lateral Surface Area = 2π × 4 × 10 = 80π ≈ 251.3274 square units
Understanding the Cylinder
A cylinder is a 3D shape with two parallel circular bases connected by a curved surface. The volume measures the space inside, while the surface area measures the total outer surface.
Frequently Asked Questions
What is the difference between total and lateral surface area?
Total surface area includes both circular bases plus the curved side. Lateral surface area only measures the curved side (imagine unrolling it into a rectangle of width 2πr and height h).
How do I find the volume of a cylinder in liters?
If your measurements are in centimeters, the volume will be in cm³. Divide by 1000 to convert cm³ to liters (1 liter = 1000 cm³).
Does this formula work for oblique cylinders?
The volume formula V = πr²h works for oblique cylinders too (h is the perpendicular height). However, the surface area formulas above are for right circular cylinders only.
Related Calculators
Last updated: 2026-08-08