Right Hollow Cylinder

Written by Jerry Ratzlaff on . Posted in Solid Geometry

  • hollow cylinder 2Right 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 Moment of Inertia of a Cylinder

Inside Volume of a Right Hollow cylinder formula

\(\large{ V = \pi\; r^2\;h }\)

Where:

\(\large{ V }\) = volume (inside)

\(\large{ r }\) = inside radius

\(\large{ h }\) = height

Lateral Surface Area of a Right Hollow cylinder formula

\(\large{ A_l = 2 \; \pi \; h \left(R^2 + r^2  \right) }\)

Where:

\(\large{ A_l }\) = lateral surface area (side)

\(\large{ h }\) = height

\(\large{ r }\) = inside radius

\(\large{ R }\) = outside radius

\(\large{ \pi }\) = Pi

Object Volume of a Right Hollow cylinder formula

\(\large{ V = \pi\; h \left(R^2 - r^2  \right) }\)

Where:

\(\large{ V }\) = volume (object thickness)

\(\large{ h }\) = height

\(\large{ r }\) = inside radius

\(\large{ R }\) = outside radius

\(\large{ \pi }\) = Pi 

Surface Area of a Right Hollow cylinder formula

\(\large{ A_s = A_i + 2 \; \pi  \left(R^2 - r^2  \right) }\)

Where:

\(\large{ A_s }\) = surface area (bottom, top, side)

\(\large{ h }\) = height

\(\large{ r }\) = inside radius

\(\large{ R }\) = outside radius

\(\large{ \pi }\) = Pi