April 18,2012

Aim: How do you find the surface area and volume of a sphere?

fist of all :)
what are spheres?
         A sphere is a figure that holds all set of points in space that are equidistant from a given point
                                           
To find the volume of the sphere you need to use the formula :
            V= 4πr3
                      3
 for example:
in a sphere we have a radius of 4,find the volume and leave it to the nearest tenth


First we plug in things we know :
 V= 4π43
            3
Next:
we  solve the exponent and multiply the number :
 V= 4π64  = 256π  
          3           3
Then :
tell  divide the number and leave π there 
the final answer is :

v = 85.33π

to find the Surface area the formula is  : 

SA: 4πr2

Ex: a sphere has a radius of 4find the surface area:

First plug in everything you know:

SA: 4 π42

Next:solve what the exponents and also multiply by 4

4* π*16=  64*π

 Finally : 

your answer can be left as terms of π or to the nearest tenth. 

64π or 201.1

TRY IT :D

1.		Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.  How many cubic inches of  soda are contained in a full can? (Round answer to the nearest tenth of a cubic inch.)	Choose: 12.0 18.8 24.0 75.4

sources used:

regents prep: 

http://regentsprep.org/Regents/math/geometry/GG2/PracSol.htm

 Google images:http://knowledgepublications.com/doe/images/DOE_Mathematics_Sphere.gif