How to find the Volume of a Sphere in 4 Easy Steps
Get the free How to find the Volume of a Sphere worksheet and other resources for teaching & understanding How to find the Volume of a Sphere
A Short Explanation for finding the Volume of a Sphere
Finding Volume of a Sphere can be completed easily by using the formula and following correct order of operations. The first step in finding Volume of a Sphere is understanding that you are cubing the radius of the sphere first. Be sure to remember that the radius is equal to half of the diameter. Once you cube the radius, you must multiply by four times pi. Next, you divide the solution by three. The final step for finding Volume of a Sphere is to follow order of operations and simplify the equation.
Common Core Standard: 8.G.C
Related Topics: Pythagorean Theorem, Parallel Lines Cut by a Transversal, Triangle Angle Sum, Exterior Angle of a Triangle, Volume of a Cylinder, Volume of a Cone
How to use the Volume of a Sphere Formula
So how do you find the volume of a sphere anyway? Discovering Volume of a Sphere can be solved effortlessly by using the equation and following right series of tasks. The first step in discovering Volume of a Sphere is understanding that you are cubing the radius of the circle first. Make sure to remember that the radius is equivalent to half of the diameter. After you cube the radius, you should multiply times pi. Next, you divide the solution by three. The last step for discovering Volume of a Sphere is to simplify.
7 Quick Steps for solving Volume of a Sphere Example Problems
- In order to solve for Volume of a Sphere you must know that the volume is equal to the radius cubed, times pie, times four, and then divided by three.
- The radius is equal to a half of the spheres diameter.
- You substitute in the radius of the sphere for r.
- Cube the radius.
- Multiply times pi.
- Multiply times four.
- Finally divide by three and be sure to use the correct units.
Volume of a Sphere Practice Problems Quiz
Watch our video where we complete our Volume of a Sphere Worksheet
Watch our free video on How to find the Volume of a Sphere. This video shows how to solve problems that are on our free Volume of a Sphere worksheet that you can get by submitting your email above.
Watch the free How to find the Volume of a Sphere video on YouTube here: How to find the Volume of a Sphere
This video is about how to find the volume of sphere and in order to show you how to find the volume of a sphere we’re gonna use our volume of sphere worksheet that you can get on our website. These practice problems will help you with the formula for volume of a sphere and answering how to find volume of a sphere.
We’re gonna do a couple practice problems on the sphere volume worksheet. The first practice problem is a sphere that has a radius of 4 inches. Now in order to find the volume of sphere you have to use the volume of a sphere formula which is 4 PI R cubed divided by 3. In order to simplify this formula you have to find the piece that is missing, which is the radius. Now in the case of this example our radius is 4 and once we know our radius we will take our radius and we will substitute it in to our volume of a sphere formula. This is the volume of a sphere formula missing the radius and in this case the radius is 4 so we’re gonna substitute that in for R. Once we put this into our calculator and simplify the volume is going to be 268.08 inches cubed this will give you the sphere volume.
Our next problem is a little bit different because instead of giving us the radius they give us the diameter. It throws in a curve ball for using the volume of sphere equation to learn how to find volume of sphere. In order to figure out how to find the volume of this sphere what we’re going to do is we’re going to use our volume of sphere formula. Volume equals 4 PI R cubed divided by 3 and we still have to find the radius, but this time they don’t give us the radius they give us a diameter, which is the entire length of the circle inside the sphere. What that means is I want to find the radius and the radius is half of the diameter. We will take our diameter and divide it by 2, 24 divided by 2 is 12. We’re going to use 12 to substitute in for the radius. Volume will be 4 times pi times the radius cubed which is 12/3. After we put all this into our calculator we will get seven thousand two hundred and thirty eight point twenty three feet cubed because that is our unit. This is the easiest way to use the sphere volume formula. You can download the free volume of spheres worksheet above.
Volume of a Sphere
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