Skip to content
math

Cylinder Calculator

Calculate the volume and surface area of a cylinder from its radius and height, with a 3D diagram.

Volume (cubic units)
62.83
Surface area (square units)
87.96
Diagram

How it works

  1. 1Enter the cylinder’s base radius and height.
  2. 2Read the volume (π r² h) and total surface area (2π r (r + h)).
  3. 3Check the 3D diagram for the labelled radius and height.

Use cases

  • Find the capacity of a can, pipe, or tank.
  • Estimate material to wrap or coat a cylinder.
  • Check geometry homework on cylinders.

Frequently asked questions

What is the volume of a cylinder?

Volume = π × radius² × height. A radius of 2 and height of 5 give about 62.83 cubic units.

What is the total surface area?

Two circular ends plus the side: 2π r² + 2π r h = 2π r (r + h). Radius 2, height 5 give about 87.96 square units.

Do you include both ends?

Yes, this is the total surface area including both circular caps. For an open tube, subtract one or both end areas (π r² each).

See all →