Skip to content
Toolspire

Education Tools

Sphere Volume Calculator

Sphere Volume Calculator is part of Toolspire and is ready as soon as this page loads. Radius 1 gives volume 4/3 π, shown as 4.1888, and surface area 4π, shown as 12.5664. Diameter must be halved before you type it.

Runs in this tabFreeNo account

On this page

What you can do here

Volume is the headline

Surface area is labelled in the detail so the two formulas are not swapped.

The unit sphere is the check

4/3 π and 4π are the numbers to recognise.

Radius, said twice

Typing a diameter makes the volume eight times too big, because the radius is cubed.

The sequence

How to use the Sphere Volume Calculator

  1. 1

    Halve the diameter

    A ball 10 cm across has radius 5.

  2. 2

    Match the unit

    The volume unit is that length cubed. Centimetres in, cubic centimetres out.

  3. 3

    Confirm 4.1888 and 12.5664

    Those are the radius-1 figures, rounded to four decimals.

Worth knowing

  • Sphere Volume Calculator on Toolspire: volume = 4/3 π r³. Radius 1 gives 4.1888.
  • Surface area = 4 π r², which is 12.5664 for radius 1.
  • The input is the radius. A diameter of 2 is a radius of 1.
  • A radius of 0 is rejected. There is no sphere.

Cubing the radius is why diameter hurts

Volume uses the cube of the radius, so doubling the radius multiplies the volume by eight. Typing a diameter in the radius box is exactly that mistake: you doubled the length and octupled the volume. Surface area only squares the radius, so the same mistake quadruples the skin of the sphere. The page asks for radius and prints both numbers from that one length.

FAQ

Questions about Sphere Volume Calculator

Where does Sphere Volume Calculator run?

Sphere Volume Calculator runs in this tab on Toolspire. What you type or drop in is not sent to us and is not stored on a server.

What is the volume of a sphere with radius 1?

About 4.1888 cubic units, which is 4/3 π.

What is the surface area?

About 12.5664, which is 4π for radius 1.

I measured the diameter. What do I type?

Half of it. Diameter 2, radius 1.

Does this include a hollow sphere?

No. The volume is the solid ball. A shell would be a difference of two volumes.

Keep going

Related tools

Cylinder Volume CalculatorNewCalculate the volume of a right circular cylinder and its total surface area from radius and height. The maths stays on your device.Education ToolsCone Volume CalculatorNewCone Volume Calculator on Toolspire: Calculate a right circular cone’s volume as one third π r² h. Radius 1 and height 3 give volume π, about 3.1416.Education ToolsCircle CalculatorNewCircle Calculator on Toolspire: From a radius, get the area, circumference and diameter of a circle. The area uses π × radius squared.CalculatorsWorksheet GeneratorNewMaths worksheet generator: printable addition, subtraction, times tables and division sheets with answer keys. Set the difficulty, download a PDF.Education ToolsRandom Name PickerNewRandom Name Picker on Toolspire. Pick random names with a spinning wheel: one or several winners, no repeats, and random groups. Fair, private and free.Education ToolsOMR Sheet GeneratorNewOMR Sheet Generator on Toolspire. Make printable OMR answer sheets free: up to 300 questions, 4 or 5 options, roll number bubbles.Education Tools

Open the full directory

Last updated Report a problem or suggest a feature