Wednesday 4 July 2012

Cones

In the previous post we have discussed about fundamental counting principle and In today's session we are going to discuss about Cones, Its a three dimensional surface in which circular base and one vertex is present is known as Cones. In other word, we can say that a cone has flat base, and one side is curved surface. Let’s discuss some formulas that are related to the cone. Suppose if we want to calculate the surface area of base then the formula is given by:
Surface area of base = ⊼ * r2,
Surface area of side = ⊼ * r * s,
Or Surface area of side = ⊼ * r * √ (r2 + h2),
Volume of a cone = ⊼ * r2 * (h / 3),
Here ‘H’ is the height of a cone, ‘R’ is the radius of a cone and ‘S’ denoted the side length.
In geometry, cone has a pointy end that is known as vertex or apex of a cone. The flat part of a cone is said to be the base of a cone. Its is having conical shape. If we rotate a triangle then a new shape is formed that is also known as cone. Similarly, if we rotate a triangle along the shortest side then it can be result as right angled triangle. Now, we will discuss the different types of properties of a cone. ((want to Learn more about Cones, click here),)
Properties of a cone are used to calculate the volume, surface area and the total surface area of a cone. Volume of a cone is given by: Volume of a cone = âŠ¼ / 3 * r2 * h, Here ‘r’ is the radius the cone’s base and ‘h’ is the height of a cone. Now surface area of a cone is given by:
SA = ⊼ * r * √ (r2 + h2), Now total surface area of a cone is given by:
TA = SA + ⊼r2,
Where ‘r’ is the radius of cone’s base and SA is the cone’s surface area of face. The Variance and Standard Deviation is used find the average form the mean values. To get more information about the standard deviation then follow the icse text books.

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