# Right Hollow Cylinder

Written by Jerry Ratzlaff 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 Moment of Inertia of a Cylinder

## formulas that use Inside Volume of a Right Hollow cylinder

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

### Where:

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

$$\large{ r }$$ = inside radius

$$\large{ h }$$ = height

## formulas that use Lateral Surface Area of a Right Hollow cylinder

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

### Where:

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

$$\large{ h }$$ = height

$$\large{ r }$$ = inside radius

$$\large{ R }$$ = outside radius

$$\large{ \pi }$$ = Pi

## formulas that use Object Volume of a Right Hollow cylinder

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

### Where:

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

$$\large{ h }$$ = height

$$\large{ r }$$ = inside radius

$$\large{ R }$$ = outside radius

$$\large{ \pi }$$ = Pi

## formulas that use Surface Area of a Right Hollow cylinder

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

### Where:

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

$$\large{ h }$$ = height

$$\large{ r }$$ = inside radius

$$\large{ R }$$ = outside radius

$$\large{ \pi }$$ = Pi