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Volume of cone, using Diameter and Length of side slope

ÀÛ¼ºÀÚ Uploader : ezmath ÀÛ¼ºÀÏ Upload Date: 2016-04-12º¯°æÀÏ Update Date: 2016-04-12Á¶È¸¼ö View : 407

The volume V of any conic solid is one third of the product of the area of the base Area A and the height H

V = (1/3)¥ðA H = (1/3) ¥ðR^2 H  

V : Volume of cone(m^3)
R : Radius of bottom circle(m)
H : Height of cone(m)

Using the relations between Radius R, Diameter D, Height H and side slope length L, following formulas are derived.

V = (1/12)¥ðD^2 H, from R = D/2
V = (1/3)¥ð(L^2 - H^2) H, from R^2 = L^2 - H^2  
V = (1/3)¥ðR^2 (L^2 - R^2)^(1/2), from H = (L^2 - R^2)^(1/2)
V = (1/24)¥ðD^2 (4L^2 - D^2)^(1/2), from R = D/2 and H = (L^2 - R^2)^(1/2)





*** Âü°í¹®Çå[References] ***

https://en.wikipedia.org/wiki/Cone
V = (1/24)*¥ð*(D^2)*(4*L^2 - D^2)^(1/2)
º¯¼ö¸í Variable º¯¼ö°ª Value º¯ ¼ö ¼³ ¸í Description of the variable


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