Volume of a Sphere - Definition, Formula & Practice Problems

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If you're looking for a comprehensive guide to finding the volume of a sphere, you've come to the right place! In this video, we'll cover everything you need to know about calculating the volume of a sphere, from the basic formula to more advanced techniques.

We'll start with the basics and explain the formula for finding the volume of a sphere, which is 4/3 x pi x r^3. We'll then break down the formula and show you how to solve it step by step. We'll also provide examples to help you understand the process better.

In addition, we'll cover some helpful tips and tricks to make finding the volume of a sphere easier and faster. We'll explain how to use different tools and techniques to calculate the volume of a sphere quickly, as well as provide some common mistakes to avoid.

Whether you're a student studying for an exam, a professional needing to make calculations, or simply someone who wants to learn a new skill, this video is for you. Our easy-to-follow tutorial will give you the confidence and knowledge you need to master the art of finding the volume of a sphere. So, sit back, relax, and let's get started!

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My favorite teacher in YouTube. You’re awesome!

explorenatural

Thanks so much completely understandable and answered my questions

cassiedueces

Incredible teacher I would like you graph more functions with square Roots???

wilkyclergeot

Hello, I love your videos. You are so good to learn from. Thank you. So I love your example at four minutes 55 seconds of the sphere at 8 mm because I'm trying to think how the earth that's 25, 000 miles around has a radius of about 8000 and so inside the earth would be the same number but imagine volcanoes and everything else does it even make sense that our earth "planet " could contain that??

truearther

A cube has the highest volume for a given surface area
4 x 3.14 will always be a constant 12.56 So the formula reduces to 12.56 x r^3 / 3

jjsmallpiece

This video came up on Google search "volume of a sphere" first page. They all gave the same formula also, so it checks out 👍

imaginaryuniverse

Questions for anyone, even just guys on the internet if you know the answer. 👍Is pi a number that defines the ratio between a circle and a square, and also a cube and a sphere. Is it correct that squares are always representing the geometric shape of a square and square roots are always reprenting the radius as the side length of a square? I think there's something interesting about the hypotenuse of a square being equal to the side length times the √2 and the "body diagonal" of a cube being the √3 times the side length of a cube.

imaginaryuniverse

This might be silly but I've always wondered, are we calculating accurate volume of a sphere if we're getting a quantity of cubic units that fit within it? Like, are we left with little empty spaces at the curved surface of the sphere that is filled with little cubes, like the issue with Riemann sums?

jasonloftis