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 = \(\frac{4}{3}\)πr³, where r is the radius and the answer is written in cubic units. First cube the radius, then multiply by \(\frac{4}{3}\)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

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 value 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×

Step 3 - Substitute the value and calculate the volume.

In this problem: Substitute and compute: V = 4/3 × π × 5³ = 523.60.

V=4/3×π×=523.60

Final answer: V = 523.60

Example 2: r = 2.50

Step 1 - Identify what is given.

In this problem: The given value is r = 2.50.

r=2.50

Step 2 - Write the formula.

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

V=4/3×π×

Step 3 - Substitute the value and calculate the volume.

In this problem: Substitute and compute: V = 4/3 × π × 2.50³ = 65.45.

V=4/3×π×2.50³=65.45

Final answer: V = 65.45