Right Cone

on . Posted in Solid Geometry

cone 2coneTags: Cone

  • Right cone (a three-dimensional figure) has a circle base with the apex alligned at 90° above the center of the base.
  • 1 base

Right Cone Index

 

 

 

Height of a Right Cone formula

\(\large{ h = 3\; \frac{V}{\pi \;r^2} }\) 
Symbol English Metric
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)
\(\large{ r }\) = radius \(\large{ in }\) \(\large{ mm }\)
\(\large{ V }\) = volume \(\large{ in^3 }\) \(\large{ mm^3 }\)

 

Slant Height of a Right Cone formula

\(\large{ s = \sqrt {r^2+h^2} }\) 
Symbol English Metric
\(\large{ s }\) = slant height \(\large{ in }\) \(\large{ mm }\)
\(\large{ A }\) = area \(\large{ in^2 }\) \(\large{ mm^2 }\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)
\(\large{ r }\) = radius \(\large{ in }\) \(\large{ mm }\)

 

Surface Area of a Right Cone formula

\(\large{ A_s = \pi\; r\; \left( r + \sqrt { h^2 + r^2 } \right) }\) 
Symbol English Metric
\(\large{ A_s }\) = surface area \(\large{ in^2 }\) \(\large{ mm^2 }\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)
\(\large{ \pi }\) = Pi  \(\large{3.141 592 653 ...}\)
\(\large{ r }\) = radius \(\large{ in }\) \(\large{ mm }\)

 

Volume of a Right Cone formulas

\(\large{ V = \frac {1}{3}\; \pi\; r^2 }\) 

\(\large{ V = \frac {1}{3} \;b\;h }\) 

Symbol English Metric
\(\large{ V }\) = volume \(\large{ in^3 }\) \(\large{ mm^3 }\)
\(\large{ b }\) = base area \(\large{ in^2 }\) \(\large{ mm^2 }\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)
\(\large{ \pi }\) = Pi  \(\large{3.141 592 653 ...}\)
\(\large{ r }\) = radius \(\large{ in }\) \(\large{ mm }\)

 

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Tags: Cone