Volume to Cylinder

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Showing 1–10 of 10 posts

A measuring tape wrapped around a tree trunk cylinder showing circumference C and height h
Calculators

Volume of a Cylinder Using Circumference

Find cylinder volume from circumference with V = C²h ÷ 4π. Includes the derivation, a pillar and a tree trunk example, measuring tips and practice.

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Cylinder with a known volume and arrows pointing to the unknown height h and unknown radius r
Calculators

Finding Height or Radius from the Volume of a Cylinder

Find a cylinder's height with h = V/(πr²) and its radius with r = √(V/πh). Worked examples, a 1,000 L tank design and unit pitfalls.

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A worksheet of cylinder volume practice questions with a pencil and a labelled cylinder
Geometry

Volume of a Cylinder: Worked Examples and Practice Questions (with Answers)

19 cylinder volume practice questions at 4 levels, plus GCSE, Class 8/9 and Grade 7 exam questions with full worked solutions and a free PDF worksheet.

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A cylinder split into its volume, its curved surface unrolled into a rectangle, and its two circular ends
Geometry

Volume vs Surface Area of a Cylinder (CSA, TSA and Volume)

Volume (πr²h) measures space inside a cylinder; CSA (2πrh) and TSA (2πr(r + h)) measure the outside. Compare all three with examples.

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A cone, a sphere and a cylinder of equal radius and height shown side by side with the ratio 1 to 2 to 3
Geometry

Cylinder vs Cone vs Sphere: How Their Volumes Compare

A cone holds one-third of a matching cylinder and a sphere fills two-thirds. See the 1:2:3 ratio, hemispheres, capsules and worked examples.

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Hollow cylinder pipe with outer radius R, inner radius r and wall thickness t labelled
Engineering

Volume of a Hollow Cylinder, Pipe or Tube

The volume of a hollow cylinder is V = π(R² − r²)h. Use radii, diameters or wall thickness, with PVC pipe, washer and steel pipe weight examples.

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A vertical and a horizontal cylindrical tank with liquid levels and the tank volume formula
Engineering

How to Calculate the Volume of a Cylindrical Tank (Vertical and Horizontal)

Calculate cylindrical tank volume for full and partly filled vertical and horizontal tanks, with a dipstick example and a fill chart in litres.

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Cylinder volume shown as equal amounts in litres, US gallons, cubic metres and cubic yards
Calculators

Cylinder Volume Conversions: Litres, Gallons, m³, ml and Cubic Yards

Convert cylinder volume between cm³, litres, ml, m³, US and UK gallons and cubic yards, with a full table, worked examples and volume to weight.

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Cylinder with its diameter d measured across the top and the formula V = πd²h ÷ 4
Geometry

How to Find the Volume of a Cylinder Using Diameter

Find the volume of a cylinder from its diameter with V = πd²h/4. Step-by-step method, pipe example, a diameter table and the mistake to avoid.

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Cylinder with labelled radius r and height h next to the formula V = πr²h
Geometry

Volume of a Cylinder Formula (V = πr²h), Explained with Proof

The volume of a cylinder is V = πr²h. See what each part means, why the formula works, a worked example, units, common mistakes and practice.

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