Volume of a Sphere Calculator

Published on: September 1, 2024

This Volume of a Sphere Calculator helps you find the space inside a sphere when the radius is known. It uses the formula V = 4/3 × π × r³, where r is the radius and the answer is written in cubic units. First cube the radius, then multiply by 4/3 × π to get the volume. It is a simple way to check answers, understand the sphere volume formula, and practise basic geometry step by step.

Sphere with radius labeled r

In the diagram, the radius is labeled r.

Step-by-step method

  1. Identify what is given.
  2. Write the formula.
  3. Substitute the value and calculate the volume.

Formula:

V = 4/3 × π × r³

Example 1: r = 5

Step 1 - Identify what is given.

In this problem: The given radius is r = 5.

r=5

Step 2 - Write the formula.

In this problem: Use the sphere volume formula: V = 4/3 × π × r³.

V=4/3×π×r³

Step 3 - Substitute the value and calculate the volume.

In this problem: Substitute r = 5: V = 4/3 × π × 5³ = 523.5987756.

V=4/3×π×5³=523.5987756

Final answer: V = 523.5987756

Example 2: r = 2.5

Step 1 - Identify what is given.

In this problem: The given radius is r = 2.5.

r=2.5

Step 2 - Write the formula.

In this problem: Use the sphere volume formula: V = 4/3 × π × r³.

V=4/3×π×r³

Step 3 - Substitute the value and calculate the volume.

In this problem: Substitute r = 2.5: V = 4/3 × π × 2.5³ = 65.44984695.

V=4/3×π×2.5³=65.44984695

Final answer: V = 65.44984695