Cylinder Calculator (Volume & Surface Area)
Cylinder Calculator (Volume & Surface Area)
A cylinder is a can-shaped solid with two identical circular ends connected by a curved side. Enter the radius and height (in whatever unit you like), and this calculator finds the volume, the lateral (side-only) surface area, and the total surface area (including both circular ends), along with a diagram and the full step-by-step working.
- V = πr²h, so a cylinder with radius 3 and height 7 has a volume of π × 3² × 7 ≈ 197.92 cubic units - the same formula used for cans, pipes, and tree trunks.
- Lateral SA = 2πrh is just the curved side, unrolled into a rectangle - for radius 3 and height 7, that's 2π × 3 × 7 ≈ 131.95 square units.
- Total SA = 2πr(r + h) adds the two circular end caps (2 × πr² each) to the lateral surface - for the same cylinder, that's 2π × 3 × (3 + 7) ≈ 188.50 square units.
How do I find the volume of a cylinder?
Use V = πr²h. A cylinder with radius 3 and height 7 has a volume of π × 3² × 7 ≈ 197.92.
What is the difference between lateral and total surface area?
Lateral surface area is just the curved side (2πrh); total surface area also adds the two flat circular ends (2πr²), giving 2πr(r + h) in total.
Cylinder Calculator (Volume & Surface Area)
A cylinder is a can-shaped solid with two identical circular ends connected by a curved side. Enter the radius and height (in whatever unit you like), and this calculator finds the volume, the lateral (side-only) surface area, and the total surface area (including both circular ends), along with a diagram and the full step-by-step working.
- V = πr²h, so a cylinder with radius 3 and height 7 has a volume of π × 3² × 7 ≈ 197.92 cubic units - the same formula used for cans, pipes, and tree trunks.
- Lateral SA = 2πrh is just the curved side, unrolled into a rectangle - for radius 3 and height 7, that's 2π × 3 × 7 ≈ 131.95 square units.
- Total SA = 2πr(r + h) adds the two circular end caps (2 × πr² each) to the lateral surface - for the same cylinder, that's 2π × 3 × (3 + 7) ≈ 188.50 square units.
How do I find the volume of a cylinder?
Use V = πr²h. A cylinder with radius 3 and height 7 has a volume of π × 3² × 7 ≈ 197.92.
What is the difference between lateral and total surface area?
Lateral surface area is just the curved side (2πrh); total surface area also adds the two flat circular ends (2πr²), giving 2πr(r + h) in total.