Right Hollow Cylinder

on . Posted in Solid Geometry

  • Right hollow cylinder (a three-dimensional figure) has a hollow core with both bases direictly above each other and having the center at 90° to each others base.
  • 2 bases

 

See article links Moment of Inertia and Moment of Inertia of a Cylinder

 

hollow cylinder 2

Inside Volume of a Right Hollow cylinder formula

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

 

hollow cylinder 2

Lateral Surface Area of a Right Hollow cylinder formula

\(\large{ A_l = 2 \; \pi \; h \left(R^2 + r^2  \right) }\) 
Symbol English Metric
\(\large{ A_l }\) = lateral surface area (side) \(\large{ in^2 }\) \(\large{ mm^2 }\)
\(\large{ \pi }\) = Pi  \(\large{3.141 592 653 ...}\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)
\(\large{ R }\) = outside radius \(\large{ in }\) \(\large{ mm }\)
\(\large{ r }\) = inside radius \(\large{ in }\) \(\large{ mm }\)

 

hollow cylinder 2

Object Volume of a Right Hollow cylinder formula

\(\large{ V = \pi\; h \left(R^2 - r^2  \right) }\) 
Symbol English Metric
\(\large{ V }\) = volume (object thickness) \(\large{ in^3 }\) \(\large{ mm^3 }\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)
\(\large{ R }\) = outside radius \(\large{ in }\) \(\large{ mm }\)
\(\large{ r }\) = inside radius \(\large{ in }\) \(\large{ mm }\)

 

hollow cylinder 2

Surface Area of a Right Hollow cylinder formula

\(\large{ A_s = h + 2 \; \pi  \left(R^2 - r^2  \right) }\) 
Symbol English Metric
\(\large{ A_s }\) = surface area (bottom, top, side) \(\large{ in^2 }\) \(\large{ mm^2 }\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)
\(\large{ \pi }\) = Pi  \(\large{3.141 592 653 ...}\)
\(\large{ R }\) = outside radius \(\large{ in }\) \(\large{ mm }\)
\(\large{ r }\) = inside radius \(\large{ in }\) \(\large{ mm }\)

 

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