Volume of a Sphere - Definition, Formula & Practice Problems

Рет қаралды 6,945

Жыл бұрын

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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Пікірлер: 22

@explorenatural2348 Жыл бұрын

My favorite teacher in KZfaq. You’re awesome!

@cassie1dueces 11 ай бұрын

Thanks so much completely understandable and answered my questions

@AiyoringaKelly-vc3lo 9 ай бұрын

Thanks for helping me out🙏🙏🙏

@free2bac3orod Жыл бұрын

Please can you translate your videos in arabic😢

@tresajessygeorge210 4 ай бұрын

THANK YOU... SIR...!!!

@jjsmallpiece9234 Жыл бұрын

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

@ajccader8151 Жыл бұрын

Thanks a lot sir,

@imaginaryuniverse632 Жыл бұрын

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

@wilkyclergeot9416 Жыл бұрын

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

@imaginaryuniverse632 Жыл бұрын

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.

@drumtwo4seven Жыл бұрын

Nice 👍

@truearther Жыл бұрын

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??

@jasonloftis6318 Жыл бұрын

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?

@imaginaryuniverse632 Жыл бұрын

👋 Hey. Volume is the amount of space. The volume can't be exact because pi is not a definite number. You could fill the sphere with water and then know the weight is a gram per cubic centimeter at it's densest weight at 38.6° measured at a particular point on Earth where the gravity is average. The time for a second was derived from how long it takes a pendulum one meter long to make a full swing at a specific place. Using the metric system allows for scientific measurements to always be relative to the Earth. Time for a pendulum swing is 2π times the square root of the pendulum length divided by the acceleration due to gravity. The acceleration due to gravity is calculated using the strength of gravity on the Earth's surface at a particular place. I think the formula for time of a pendulum is very important in understanding physics because it relates to the Planck's constant which I found out just says energy can never decrease from it's point of origin, if I'm not mistaken but it's probably an important formula anyway. 👍