Calculate the volume,radius,and diameter of a sphere given the area-Geom...

In this video I created you will learn how to find the radius,volume, and diameter of a sphere,given the area. I call these backwards problems because you normally find the area given the volume or radius.

This video helps with the following Geometry Standard
Common Core Standard G.GMD.3

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Finding the surface area and the volume of a sphere

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Video of the Day " Spheres: Definition and Finding Area and Volume"

Circles Part 2 Lesson 6
Spheres

Note taking guide

Video Guide

0:09 Definition of a sphere

0:42 An example of the definition of a sphere

1:16 Radius of a sphere explained.

2:58 The great circle explained with an illustration

3:28  Definition of hemisphere and a brief explanation of hemisphere

3:49 Formula for surface area of a sphere

4:16 Formula for volume of a sphere

4:40 Sample problem with step by step instruction over how to find surface area of a sphere.with an exact answer and a rounded decimal.

6:55 Example problem with step by step instructions for finding the volume of a sphere.

How to find the volume of a sphere.

How to find the volume of a sphere

What is a sphere? You can think of a sphere as a circle in three dimensions. A sphere is perfectly symmetrical, does not have any vertices or corners, no edges. In addition, all of the points on a sphere are the same distance from the center.

Video  Volume of a sphere

The formula for finding the volume of a sphere equals 4⁄3 πr^3  r =radius

 

 

 

Step 1. Plug 6 in the formula for the radius

 

Step 2. 4⁄3 π6^3 = 4⁄3 π216

 

Step 3. Multiply 4⁄3 x 216=( 4*216 )/3

 

Step 4 864/3 = 288π units^3