Here is Everything You Need to Know About Finding the Volume of a Sphere
How can you use the volume of a sphere formula to solve problems?
Welcome to this free lesson guide that accompanies this Volume of a Sphere video tutorial, where you will learn the answers to the following key questions and information:
How do you find volume of a sphere?
How do you use the volume of a sphere formula?
What is the radius of a sphere?
What is the circumference of a sphere?
This Complete Guide to Finding Volume of a Sphere includes several examples, a step-by-step tutorial, an animated video mini-lesson, and a free worksheet and answer key.
*This lesson guide accompanies our animated Volume of a Sphere Tutorial on YouTube.
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Volume of a Sphere: Properties
Before you learn about finding the volume of a sphere and how to use the volume of a sphere formula, you must be familiar with the following properties of a sphere:
A sphere is a three-dimensional circle (like a ball)
The radius of a sphere is any line that extends from the center to the edge.
The radius, r, is equal to half of the diameter.
Volume of a Sphere Formula and Definition
Next, you need to understand what the volume of a sphere is.
The Volume of a Sphere is how much room is INSIDE of a sphere.
The Volume of a Sphere Formula:
Not that, unlike area or surface area, volume is measured in cubic units.
Now you are ready to solve some problems involving volume of a sphere!
Using The Volume of a Sphere Formula Examples
EXAMPLE: How many cubic centimeters of air would be needed to completely fill a soccer ball with a diameter of 22cm?
Let’s start by identifying the key information as follows:
Since you are concerned with filling the amount of space inside of the soccer ball, you know that this problem can be solved using the volume of a sphere formula.
And you also know that the ball has a diameter of 22cm…
Since you know the length of the diameter and that the radius is equal to half of the diameter, you can conclude that the radius of the soccer ball equals 11cm, because (22/2)=11…
Now you are ready to use the formula to solve the problem as follows:
Start by replacing r with 11 in the volume of a sphere formula.
Then evaluate using your calculator.
Finally, you can conclude that:
ANSWER: The volume of the sphere is approximately 5,575.3 cubic centimeters!
Using The Volume of a Sphere Formula Explained: Video Tutorial
Still confused? Check out the animated video lesson below:
Check out the video lesson below to learn more about how to use the volume of a sphere formula:
Free Volume of a Sphere Worksheet
Free Worksheet!
Are you looking for some extra practice? Click the links below to download your free worksheets and answer key:
Volume of a Sphere Practice Worksheet:
CLICK HERE TO DOWNLOAD YOUR FREE WORKSHEET
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By Anthony Persico
Anthony is the content crafter and head educator for YouTube's MashUp Math. You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.