Right Cylinder Volume

Right Cylinder Volume is a calculator for the most common type of cylinder — the right circular cylinder. This is the standard shape you see in cans, glasses, pipes, drums, and most cylindrical objects. The word 'right' means the sides are perpendicular to the bases, forming a 90° angle. This tool exists because the right cylinder is the default shape in geometry and engineering, and having a dedicated calculator for it provides clarity.

While the formula V = πr²h applies to all cylinders (including oblique ones), the right cylinder is the simplest to measure because the height equals the axis length — no need to worry about slant or tilt adjustments.

This calculator is used by students learning solid geometry, engineers designing standard cylindrical components, and anyone working with upright cans, tanks, glasses, or containers.

Volume: V = πr²h Lateral surface area: 2πrh Total surface area: 2πr(r + h) Base area: πr²

The axis length equals the height. The slant height also equals the height (since there's no tilt). Every point on the curved surface is the same distance (r) from the axis.

A right cylinder is also called a 'right circular cylinder' because its bases are circles. If the bases were ellipses, it would be a right elliptical cylinder.

Right circular cylinder: Upright, circular bases, perpendicular sides. The most common type.

Oblique cylinder: Tilted. Same base but the sides lean. Same volume as a right cylinder with the same base and perpendicular height.

Hollow cylinder: Has an inner cavity. Volume = πh(R² − r²).

Elliptical cylinder: Bases are ellipses, not circles. V = π × a × b × h.

For most practical purposes — cans, tanks, glasses, pipes — you're working with a right circular cylinder.