Cylinder — Volume + Surface Area
Right circular cylinder: V = πr²h, lateral SA = 2πrh, total SA = 2πr(r + h).
Result
Volume
282.7433
πr²h = π × 9.0000 × 10 = 282.7433. Total SA = 245.0442.
- Radius3
- Height10
- Volume (πr²h)282.743339
- Lateral SA (2πrh)188.495559
- Each base (πr²)28.274334
- Total SA245.044227
Step-by-step
- V = πr²h = π × 9.0000 × 10 = 282.7433.
- Lateral SA = 2πrh = 2π × 3 × 10 = 188.4956.
- Each circular base = πr² = 28.2743.
- Total SA = lateral + 2 bases = 188.4956 + 56.5487 = 245.0442.
How to use this calculator
- Enter radius and height of the cylinder.
- Read volume, lateral surface (the curved wall), and total surface area.
About this calculator
A right circular cylinder has two parallel circular bases connected by a curved lateral surface, perpendicular to the bases. Volume V = πr²h (base × height). Lateral surface area = 2πrh (unroll the curved side into a rectangle of width 2πr — circumference — and height h). Total SA = lateral + 2 bases = 2πrh + 2πr² = 2πr(r + h). Source: Stewart, "Calculus" §6.2; Larson, "Geometry" Ch. 11.
Frequently asked
Lateral = just the curved wall (2πrh). Total = lateral + the two circular caps (2πr²).
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