Torus

on . Posted in Solid Geometry

  • torus 2torusTorus (a three-dimensional figure) has a shape like a donut.

Torus Index

 

 

 

 

 

Hole Radius of a torus formula

\(\large{ R_h = R - r  }\) 
Symbol English Metric
\(\large{ R_h }\) = radius of the hole \(\large{ in }\) \(\large{ mm }\)
\(\large{ r }\) = radius of sphere \(\large{ in }\) \(\large{ mm }\)
\(\large{ R }\) = radius of center of sphere \(\large{ in }\) \(\large{ mm }\)

 

Surface Area of a torus formula

\(\large{ S = 4 \; \pi^2 \; R\; r    }\) 
Symbol English Metric
\(\large{ S }\) = surface area \(\large{ in^2 }\) \(\large{ mm^2 }\)
\(\large{ \pi }\) = Pi \(\large{3.141 592 653 ...}\)
\(\large{ r }\) = radius of sphere \(\large{ in }\) \(\large{ mm }\)
\(\large{ R }\) = radius of center of sphere \(\large{ in }\) \(\large{ mm }\)

 

Volume of a torus formula

\(\large{ V = 2 \; \pi^2 \; R\; r^2  }\) 
Symbol English Metric
\(\large{ V }\) = volume \(\large{ in^3 }\) \(\large{ mm^3 }\)
\(\large{ \pi }\) = Pi \(\large{3.141 592 653 ...}\)
\(\large{ r }\) = radius of sphere \(\large{ in }\) \(\large{ mm }\)
\(\large{ R }\) = radius of center of sphere \(\large{ in }\) \(\large{ mm }\)

 

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