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Mathematics

Cylinder Volume Calculator

Enter the radius and height of a cylinder.

r = 2.5 fth = 8 ft

Schematic, not to scale.

Volume of the cylinder

157.079633 ft³
Total surface area
164.933614 ft²
US gallons
1175.0373

Every unit

Cubic metres (m³)
4.4479999
Cubic centimetres (cm³)
4447999.9
Cubic millimetres (mm³)
4447999900
Cubic inches (in³)
271433.61
Cubic feet (ft³)
157.07963
Cubic yards (yd³)
5.8177642
Litres (l)
4447.9999
Millilitres (ml)
4447999.9
US gallons
1175.0373
Imperial (UK) gallons
978.42319
US quarts
4700.149
US cups
18800.596
US fluid ounces
150404.77

Formulas

V=πr2hV=\pi r^2 hV=πr2h
S=2πr(r+h)S=2\pi r(r+h)S=2πr(r+h)

Step by step

  1. 1Volume
    V=πr2hV=\pi r^2 hV=πr2h
    ↓
    V=π×2.52×8=157.079633 ft3V=\pi\times 2.5^2\times 8=157.079633\ \text{ft}^{3}V=π×2.52×8=157.079633 ft3
  2. 2Surface area
    S=2πr(r+h)S=2\pi r(r+h)S=2πr(r+h)
    ↓
    S=2π×2.5×(2.5+8)=164.933614 ft2S=2\pi\times 2.5\times (2.5+8)=164.933614\ \text{ft}^{2}S=2π×2.5×(2.5+8)=164.933614 ft2
  1. Tools
  2. Mathematics
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  4. Cylinder Volume Calculator

About Cylinder Volume Calculator

This cylinder volume calculator uses V = πr²h and also gives the total surface area. The page opens on a drum 2.5 ft in radius and 8 ft high and shows the volume in US gallons. It is free, needs no sign-up and runs in your browser, so nothing you enter is uploaded.

That cylinder holds 157.08 cubic feet, about 1175.0373 US gallons. Enter the inside dimensions for a container’s capacity.

How to use Cylinder Volume Calculator

  1. 1Choose the solid from the list.
  2. 2Enter its dimensions in the boxes, labelled with the measurement each one means.
  3. 3Pick the unit you measured in, and the volume unit you want, such as litres or gallons.
  4. 4Read the volume, the surface area and the table of every unit.
  5. 5Compare the labelled diagram with your object to be sure each number is in the right box.
  6. 6Open the step-by-step working to see both formulas filled in with your numbers.

Features

  • Twelve solids, each with volume, total surface area, formulas and working.
  • A labelled schematic diagram for every solid.
  • Eight length units for the inputs.
  • Volume in cubic units, litres, millilitres, US and imperial gallons, quarts, cups and fluid ounces.
  • Cone frustum, capsule, ellipsoid and hollow tube, which many calculators leave out.
  • Regular-polygon prisms with any number of sides from 3 to 1000.
  • Helpful messages, such as when an inner radius is not smaller than the outer one.

Cylinder formulas

Base area times height.

V = π r² h
S = 2π r (r + h)

Worked examples

  • r = 3, h = 10 → gives V = 282.7433

    Surface area 245.0442.

Privacy: how it works

  • All the calculations run in your browser tab. The dimensions you enter are not sent to Ulkaa or to any other server, and there is nothing to sign in to.

Tips

  • Use the inside dimensions when you want the capacity of a container, and the outside ones for the space it takes up.
  • For a pyramid with a square base, enter the same number for length and width.
  • A capsule is a cylinder with a hemisphere on each end. Enter the cylinder length only, not the overall length.
  • To fill a tank to part of its height, enter that height instead of the full height.

Frequently asked questions

Is it really free?

Yes. There is no price, no trial and no credit card. Ulkaa Tool does the work with your own device, so there is no server bill to pass on to you.

Do I need an account?

No. There is no sign-up and no login. Open the page and use it. An Ulkaa account is not needed for anything on this tool.

Does it run in my browser?

Yes. Your measurements are processed by code running in your browser tab, on your own device.

Is my data uploaded?

No. Your measurements are never sent to Ulkaa or to anyone else. You can check this yourself by watching the Network tab in your browser developer tools while you use the tool.

What is the volume of a cylinder?

π times the radius squared times the height.

What if I know the diameter?

Halve it to get the radius before you enter it.

More Volume Calculator pages

  • Volume CalculatorPick a solid, enter its dimensions and get the volume and surface area with formulas, steps, a diagram and litres or gallons.
  • Sphere Volume CalculatorEnter the radius of a sphere.
  • Cone Volume CalculatorEnter the radius and height of a cone.
  • Cube Volume CalculatorEnter the edge of a cube.
  • Cuboid Volume CalculatorEnter the length, width and height of a box.
  • Box Volume CalculatorEnter the inside length, width and height of a box.
  • Pyramid Volume CalculatorEnter the base length, base width and height of a pyramid.
  • Hemisphere Volume CalculatorEnter the radius of a hemisphere.
  • Prism Volume CalculatorEnter the number of base sides, the side length and the prism height.
  • Frustum Volume CalculatorEnter the bottom radius, top radius and height of a truncated cone.
  • Capsule Volume CalculatorEnter the radius and the length of the cylindrical part.
  • Ellipsoid Volume CalculatorEnter the three semi-axes of an ellipsoid.
  • Pipe Volume CalculatorEnter the outer radius, inner radius and length of a pipe.

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