Cylinder Atlas

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Browse every public English calculator, guide and information page.

Calculators and guides

Volume in litresConvert circular tank and container dimensions into litres without mixing linear and cubic units. Volume in gallonsCalculate cylindrical capacity with an explicit choice between US liquid gallons and imperial gallons. Volume in millilitresFind small cylindrical capacities in millilitres from independently selected length units. Volume to fluid ouncesConvert cylinder volume to US or imperial fluid ounces without confusing volume with mass ounces. Using diameterCalculate volume directly from diameter and perpendicular height. Using radiusUse radius and perpendicular height in the standard cylinder volume formula. By circumferenceFind cylinder volume when wrapping a tape around the circular base is easier than locating its centre. From base areaMultiply a known circular base area by perpendicular height, with explicit square-unit handling. From surface areaDerive the missing radius or height from total surface area, then calculate volume. Formula derivationUnderstand why V = πr²h follows from equal circular slices rather than memorising it. Using integrationSee the cylinder formula as a definite integral of constant circular cross-sectional area. Measurement guideChoose radius, diameter, circumference and perpendicular height measurements that match the volume you need. Tank calculatorCalculate full and partial capacity for a horizontal cylindrical tank and compare fill percentage. Hollow cylinderSubtract the interior void from the outer cylinder to find pipe or sleeve material volume. Right cylinderCalculate a right cylinder whose axis is perpendicular to its two circular bases. Horizontal cylinderCalculate full capacity and liquid volume at any valid depth in a level horizontal cylinder. Vertical cylinderFind total capacity, current liquid volume and fill percentage for an upright cylindrical tank. Cylinder vs coneCompare a cylinder and cone that share the same circular base and perpendicular height. Cylinder vs sphereCompare a sphere with its snug enclosing cylinder, whose radius is r and height is 2r. Volume to massMultiply cylindrical volume by material density to estimate mass with explicit units. Without heightUnderstand when volume is undetermined and solve height when volume and radius are known. Without radiusSolve the inverse cylinder formula when volume and perpendicular height are known. Open cylinder wallsSeparate lateral surface area, enclosed capacity and optional wall-material volume for an open cylindrical shell.

Articles

Measurement

Measuring Cylinder Volume by Circumference

A field guide to deriving cylinder volume from circumference when the centre or diameter is inaccessible.

Read article →Comparisons

Cylinder, Cone and Sphere: Ratios You Can See

Compare equal-base cylinders and cones, then a sphere with its enclosing cylinder using exact volume ratios.

Read article →Practice

Ten Cylinder Practice Problems With Checked Solutions

Practice direct, inverse, unit-conversion, hollow-cylinder and partial-tank calculations with concise checked answers.

Read article →Units

Cylinder Volume Unit Conversions That Stay Dimensionally Correct

Convert cubic units, litres, gallons and fluid ounces after calculating cylinder volume without losing physical meaning.

Read article →Fundamentals

Cylinder Volume: A Practical Foundation

Understand the cylinder volume formula, units, measurement choices and quick checks that prevent common errors.

Read article →Formulas

From Diameter to Cylinder Volume Without Rounding Early

Use V = πd²h/4, measure diameter correctly and avoid the most common radius-versus-diameter mistake.

Read article →Pipes

Hollow Cylinders, Pipe Walls and Material Volume

Calculate annular material volume, distinguish pipe capacity from wall volume and connect geometry to density.

Read article →Tanks

Why Horizontal Tank Fill Is Nonlinear

Understand the circular-segment formula, endpoint checks and practical limitations for partly filled horizontal cylinders.

Read article →Algebra

Inverse Cylinder Problems: Finding Radius or Height

Rearrange cylinder volume safely, understand when data are insufficient and verify inverse answers by substitution.

Read article →Surface area

Surface Area and Volume Are Related—but Not Interchangeable

Distinguish total and lateral cylinder area, derive a missing dimension and see why surface area alone cannot determine volume.

Read article →

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