Math July 13, 2026 · 8 Min Read

Sphere Volume Calculator – Guide & Formulas

Calculate the volume and surface area of a sphere given its radius or diameter. Features exact pi fractions and decimal conversions.

Determine the three-dimensional volume of a sphere. Ideal for finding the capacity of balls, bubbles, domes, and celestial bodies.

Key Takeaway

Use the free Sphere Volume Calculator to calculate the volume and surface area of a sphere given its radius or diameter. features exact pi fractions and decimal conversions. Get instant results with step-by-step explanations.

How to Use the Sphere Volume Calculator

  1. Enter the radius or diameter of the sphere.
  2. Review the calculated total volume and outer surface area.
  3. Examine the visual steps of cubing the radius and multiplying by 4/3.

The Formula

V = (4/3) * pi * r^3 | A = 4 * pi * r^2

Variable Definitions

  • V: Volume of the sphere
  • A: Surface area of the sphere
  • r: Radius of the sphere

Volume of a Standard Basketball

A standard size 7 basketball has a radius of approximately 4.7 inches. Find its internal volume.

  1. Step 1: Set radius r = 4.7 inches.
  2. Step 2: Cube the radius: 4.7³ = 103.823.
  3. Step 3: Multiply by 4/3 and Pi: (4/3) * π * 103.823 ≈ 435.41 cubic inches.
  4. Step 4: The basketball holds approximately 435.41 cubic inches of air.

Frequently Asked Questions

What units is sphere volume measured in?

Volume is always measured in cubic units, such as cubic inches (in³), cubic centimeters (cm³), or liters (L).

How does doubling the radius affect the volume?

Since the radius is cubed, doubling the radius increases the volume by a factor of 8 (2³ = 8 times).

What is the surface area of a sphere?

The surface area is the measure of the total outer surface of the sphere, calculated as 4 * π * r².