Cylinder Volume Calculator
Find the volume of a right circular cylinder from its radius and height (πr²h). Surface area, lateral area, base area and diameter are computed too.
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Input
Enter the base radius and height to compute the volume (πr²h) and areas of a right circular cylinder.
Result
Volume πr²h
226.194671
Lateral area 2πrh
150.796447
Surface area 2πr(r+h)
207.345115
Base area πr²
28.274334
Diameter 2r
6
Enter the radius and height in the same unit. Areas use squared units and the volume uses cubed units. Pi is taken as about 3.14159.
How it works
- The volume equals the base area times the height. The base is a circle of radius r, so the base area is πr² and multiplying by the height h gives volume = πr²h.
- The lateral (side) area is 2πrh. Unrolling the side of the cylinder gives a rectangle whose width is the base circumference 2πr and whose height is h.
- The total surface area is the lateral area plus the two circular ends, 2πrh + 2πr² = 2πr(r + h).
- Enter the radius and height in the same unit. If lengths are in centimeters, the volume is in cubic centimeters and the surface area in square centimeters.
- The calculation uses approximately 3.14159 for pi.
Frequently asked questions
- How is the volume of a cylinder calculated?
- Multiply the base area by the height. The base is a circle of radius r, so the base area is πr², giving volume = πr²h. We use π ≈ 3.14159.
- How does a cylinder's volume compare to a cone with the same radius and height?
- A cylinder holds πr²h, while a cone with the same radius and height holds only one third of that. In other words, exactly three such cones fit inside the cylinder.
- What is the difference between lateral area and total surface area?
- The lateral area is the rectangle you get by unrolling the side, 2πrh, and the total surface area adds the two circular ends: 2πrh + 2πr² = 2πr(r+h).
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