Group+1

chapter 9 wiki-karkarox!

7.3 surface area and volume of a pryamid S=L+B or S=1/2//l//p+B

__words to know__ pyramids-like a 3-dimentional triagle with a square-shaped base

lateral face- think of them as any of the sides of the pyramids the are NOT the base vertex of pyramid-the top point of pryamid

formula for volume of a pryamid:

v=1/3 b x h

7.4

suface area and volume of cylinders

the main thing that im going to exacute in this section is **how to use a formula for the surface area of a right cylinder** also, **how to use and define the formula for the volume of a cylinder



there is two ways that you can figure out the volume of the cylinder.

option number one is: //volume=pi x radius2 x height

but sometimes, that could be a little bit difficult to do with very large structures like the gasoline tank above. what you can do is split the cylinder up into sectors, triagles and make them into a a rectangle.

lets do an example problem



the tank on the truck above has a length of 31 feet and 6 inches and an outer iameter of 8 feet. then, say the insluating walls of the the tank are about 2 inches thick. what is the volume of the tank?

__surface area of right cylinder__

you can find the surface area of a right cylinder with a __net__. __(__think of a net as a soup can unbound with both lids off )

formula for SA of a right cylinder://** say a small coin is a right cylinder with a diameter of 19.05 millimeters.i also has a thickness of 1.55 millimeters igoring that the penny is raised, estimate the sure area of the penny.
 * //s= 2 x pi x radius x h + 2 x 3.14 x 3.14 (pi sqaured)//**
 * //lets do a sample problem//**

7.5 surface area and volyme od cones



you may not notice, but cones are everywhere! thee on the streets, in your schools, even your food!

in this section we will focus on:

__defining and using the formula for the surface area of a cone defining and using the formula for the volume of a cone__

a cone is a 3-d figure that has a circle base. if you were to unroll a cone it would look like this formula for SA of right cone

pi x radius x slant height + pi x radius x radius

quiz: do you think you get more bang for your buck with a cone glass like this

or a tall tumbler like this one?

volume of a cone

the formula: 1/3 x pi x radius x radius x height