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Picture of Volume of a Sphere
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A sphere is nothing but a three dimensional circle. If you can imagine a smooth ball, suspended in mid-air, perfectly round... then you get a sphere.

All of you have seen spheres...They're everywhere!
If you've seen the solar system, you've seen spheres..If you've played ping pong, or golf or soccer...even basketball or cricket and hockey...you've seen spheres. If you are a housewife, you'll see spheres in the fruit basket... And if you are in kindergarten...they're in your abacus set!
Spheres are very common shapes, one encounters in everyday life.

This instructable will show you "how" and "why" to calculate the volume of a sphere.
I have explained every concept and every formula in great detail. Also , I have filled up this instructable with a lot of practical examples which will help you understand me


 
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Step 1: Your Toolbox

Picture of Your Toolbox
If you're planning to do some real-time calculations, here's what you will definately need:
1) A good ruler.(Or if you have a good vernier calliper in the local store, that would be excellent!).
2) A long piece of thread( Extremely useful in finding the circumference!)
2) A good and reliable calculator.
3) A pencil or marker of some sort.
4) Paper on which you can do your calculations.
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mvillalpando11 months ago

Thank you for this Instructable. It is simple and easy to follow. I was searching all over this website in order to find ways to figure out how to build a frame of a 10 foot sphere and your explanation on the formulas have helped me out in to figuring out or seeing the mathematics portion. Mathematics is not my strongest skill, I am more on the artistic and design side. I've learned that if I can think of it, I can build it. At least most of the time. But I will never disregard that in order to be precise that one, even as an artist, has to have a strong foundation in basic mathematics, especially now that I am working with fractals. Actually, I always have worked with fractals but I never even knew that until it was pointed out to me that I was using fractals for some of my art and designs. Since I learned about fractals I've been more fascinated by their use. Anyhow, thank you again for your Instructable.

knektek6 years ago
you are supposed to do area=pi X (radiusXradius) ,
not area = pi X radius X radius.
Try that on a calculator.. pi x 10 x 10 is the same as pi x (10x10)
its one of the properties of multiplication
it's the same
Cant that be 3.14 * diameter?

-PKT
Yashknowsbetter (author)  PKTraceur6 years ago
diameter is nothing but twice the radius...so you can write any equation in terms of diameter as well...if i'm not mistaken, you've written the equation of circumference of the circle...it's right...
So, i'm right? -PKT
Yashknowsbetter (author)  PKTraceur6 years ago
yes...circumference=pi*diameter.
Yashknowsbetter (author)  knektek6 years ago
Yeah...scotty3785 is right.. When multiplication signs are the only signs in an equation, parenthesis rarely matter. Although the issue with matrices is different...
GASSYPOOTS3 years ago
easiest way= make a 2 piece mold of the sphere in clay hardden it fill both halves with water 1ml=1 cubic cm so measure how much water it takes :D
tsaffert3 years ago
water displacement FTW
SubFusion5 years ago
V =  d x d x d / 1.91
mathman476 years ago
You did a nice job of explaining a hard concept. Now explain integration.
Yashknowsbetter (author)  mathman476 years ago
integration would be harder to actually explain..but i'll definately try!
You could try to explain how to find the area of two intersecting spheres then you would need integration and several years differential calculus.
Xellers 664115 years ago
You could just use the disc method to integrate the portions of the intersecting spheres and then add the results. Its not very difficult.
Yashknowsbetter (author)  664115 years ago
I know.....im really perplexed as to how i can explain the concept of Integration itself ...any suggestions.???
Let's see. Take 3 years and 4 to 5 1,000 page textbooks. Seriously, I think graphing is the way to go. Find the area under a curve using smaller, and smaller (eventually an infinite number of) rectangles. I can't get to my books right now, but I think that's how I was taught. Good luck.. We're all rooting for you.
Yashknowsbetter (author)  mathman475 years ago
yaa..thats right i guess that's the simplest way to get it done...i'll try my best...
Why don't you just prove that an integral is an antiderivative? I think its the most straightforward way.
vic5876 years ago
ease up with the exclamation marks :)
Yashknowsbetter (author)  vic5876 years ago
Yeah i know i've put too many in there, but dont worry they wouldnt hurt ne1
ya I know :). Hey just wanna say thanks a lot. Your instructable helped me out a lot for a project I had to do for school. thanks! I appreciate it.
Yashknowsbetter (author)  vic5875 years ago
Wow! dat's made my day!
lock6 years ago
Cant you just get the volume by multiplying pi by radius by radius by height of a cylinder of the same dimensions (lets say 2 height and 2 radius) then cut it in half (or third I can't remember) then multiply it by two? I am pretty sure that gets the volume of a cylinder.
GlueyMcGee6 years ago
Volume of a sphere, the simple way: 4πr² OR four times pi times radius times radius...just find the radius! easy isn't it?
azice6 years ago
Couldn't you just put it into a graduated flask with water in it and subtract the difference? I think I'm missing the point, sorry.
Yashknowsbetter (author)  azice6 years ago
Yeah...thats right!
Foaly76 years ago
A hockey puck is a flat circle, not a sphere.
A hockey puck is technically a right-circular cylinder, not a circle or a sphere.
It is a sphere if you spin it! GO CONDORS! LOL
I'm not trying to be jerk here,... but it's not even a sphere if you spin it. Yeah, it looks a lot like a sphere, but it's still not. Only a circle rotated about a radial axis will result in a sphere. A right-circular cylinder (a circle extruded through some depth along a line perpendicular to the plane of the circle) rotated about a radial axis will result in something different than a sphere.
Yashknowsbetter (author)  Foaly76 years ago
There are two kinds of hockey played around the world, ICE hockey is played with a puck, which is as you said , a flat disk. But the other kind, played on a turf field uses a round white colored ball ( which is very much, a sphere)!!!
Dragons6 years ago
knektek pi x radius x radius is the same as pi X (radius X radius). It is the associative property.
Yashknowsbetter (author)  Dragons6 years ago
If it was'nt the associative property...it would've been called common sense!.
Yeah I know, I didn't want to be mean.
mattduvall6 years ago
for measuring the volume of things like golfballs or a small sphere its easier to use water displacement, measure how much water u have in a measuring cup, put in the sphere, measure how much you have after. the difference = the volume, more accurate for things like golfballs which are not perfect spheres
Yashknowsbetter (author)  mattduvall6 years ago
True... very correct...i've explained only the theoretical ways of determining volume.
i liked it, we learned area of a circle and a cylinder this year but we didnt do cones or spheres or anything. With the pi*radius*radius, itd be easier to just say πR2.

This will be pretty cool to learn before grade nine XD
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