5th grade
Natural numbers
Basic arithmetic operations
Calculation laws and advantages
Geometry

6th grade
Divisibility of numbers
Factions
Decimal fractions
Angles and angle measures

7th grade
Assignment and rule of three
Calculation of percentage
Rational numbers
Equation and inequation
Probability calculus

8th grade
Function and assignment
Triangles
Quadrangles
Calculation of surfaces
Transformation of terms
Probability calculus

9th grade
The root
Record set of the pythagoras

10th grade
Circle calculation
The cone
Power calculation
Power laws
Exponential function
Logarithm
Trigonometry
Probability calculus

 

The cone
Volume and surface calculation

[Home] [Search] [Forum] [Links] [Contact] [Imprint] [Sitemap]

[German] [English]
 

Volume

The formula for the volume of a cube is similar to the formula of the pyramid. The only diferrence is that the base is not rectangular, but round:

   

Surface

The surface consists of the base and the coat. The base is a circle and is calculated as follows: . But what is in the coat? -A circle, but only a segment of one.

Now, the area of the circles' segment must be calculated. But to do this, it has to be figured out what part is missing or which is there. So, the perimeter of the base has to be calculated. Afterwards, the perimeter of the circle is calculated with the radius of the segment. What is the quantum of the small circle from the big circle? In other words, what number do I have to multiply with the perimeter of the big circle to get the perimeter of the small circle? Thereto, the perimeter of the small circle has to be divided by the perimeter of the big circle. The result is the number that is then multiplied by the area of the big circle and then the area of the circles' segment is the answer.

  

A circle section =

The area of circle section (= coat) added to the area of circle of bas is the surface of cone.

 
 

Copyright © 2005 Christian Franzki - Emkacom Group
Mathematik-Wissen.de - Math-Knowledge.com - Mathe-online.eu - Mathematik-online.eu - Physik-Wissen.de - Pysik-online.eu  - Deviation-Studios.de - 11G1-online
02/09/07