Right Cylinder Calculator: Volume, Surface Area, Lateral Area

Your details

Choose which two quantities you already know; everything else will be solved.
Radius of the circular base.
cm
Perpendicular distance between the two circular bases.
cm
Provide this when solving for height or radius from volume.
cm^3
Provide this when solving for height or radius from the curved side area.
cm^2
Provide this when solving for height from the total surface area and radius.
cm^2
Volume (V)
785.3982

Space enclosed by the cylinder.

Total surface area (A)471.2389
Lateral surface area (A_l)314.1593
Base area, one face (A_b)78.5398
Both bases combined (2 A_b)157.0796
Space diagonal (d)14.1421
Base circumference (C)31.4159
Surface-to-volume ratio (A/V)0.6
Radius solved (r)5
Height solved (h)10
Unitcm
Area unitcm^2
Volume unitcm^3
Both bases (2 A_b)157.0796
Lateral area (A_l)314.1593

V = 785.3982 cm^3, A = 471.2389 cm^2.

  • The height equals the diameter (h = 2r), which is the shape that minimises surface area for a fixed volume - the classic optimal can result.
  • The curved side accounts for 66.7% of total surface area; the two circular bases account for the remaining 33.3%.
  • Surface-to-volume ratio: 0.6000 per cm. A lower value means less material is needed to enclose the same volume.

Next stepTo minimise packaging material for a fixed volume, set the height equal to the diameter (h = 2r). This gives the smallest possible surface area for that volume - use the r_h mode and try it.

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