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  1. Created 2008-11-12 20:34:43
  2. by Anton

Online calculator: Cone

Rate:PoorNothing specialWorthPretty goodAwesome!Votes:
Cone is a three-dimensional figure that has one circular base and one vertex (apex).
Oblique cone
Right cone
An oblique cone is a cone with an apex that is not aligned above the center of the base.
A right cone is a cone in which the apex is aligned directly above the center of the base. The base need not be a circle here.

Volume of a right cone is V=1/3S_b * H, where S_b is a surface area of cone base.

geometry_cone.gifWhen the base of a right cone is a circle, it is called a right circular cone.
Such a cone is characterized by the radius of the base and the altitude of the cone, that is, the distance from the vertex to the center of the base. So volume of a right circular cone is V=1/3\pi R^2H

The slant height of such a cone is the length of a straight line drawn from any point on the perimeter of the cone to the vertex.
If the radius of the base is R and the altitude of the cone is H, then the slant height is H_s= \sqrt{R^2+H^2}
Now we can calculate total surface area of a right circular cone: S=S_b_a_s_e + S_l_a_t_e_r_a_l=\pi R^2 + \pi R H_s=\pi R^2 + \pi R \sqrt{R^2+H^2}
 Cone
  3. Calculate
    1. Volume: 
    2. Lateral surface area: 
    3. Surface area: 

Right cone frustum scheme
Right cone frustum
A frustum of cone is a truncated cone in which the plane cutting off the apex is parallel to the base.
Volume of a right circular cone frustum is V=1/3\pi (R_1^2+R_1 R_2 + R_2 ^2)H
Surface area of a right circular cone frustum is S=\pi R_1^2 + \pi R_2^2 + \pi * (R_1+R_2)\sqrt{(R_1-R_2)^2 + H^2}
 Cone frustum
  4. Calculate
    1. Volume: 
    2. Lateral surface area: 
    3. Surface area: 







This content is accessible under Creative Commons Attribution/Share-Alike License 3.0 (Unported) Creative Commons Attribution/Share-Alike License 3.0 (Unported)
 

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