## Volume of Hollow Cylinder

We measure two radii for the volume of a hollow cylinder: one for the inner circle and the other for the outer circle created by the hollow cylinder’s base.

A cylinder is one of the most basic curved geometric shapes. Its surface is made up of points at a fixed distance from a given line segment. A hollow cylinder is a hollow cylinder and it has two radii, such as R being the outer or outer radius, and r is the inner or inner radius.

## The Formula For Volume of Hollow Cylinder

If R and r are the two radii of a hollow cylinder with a height of ‘h,’ then the volume of this cylinder can be written as:

**V = πh (R ^{2} – r^{2})**

Where,

- V is the volume of the outer surface
- h is the height
- R is the radius of the outer surface and
- r is the radius of the inner surface.

## Surface Area of Hollow Cylinder

The surface area of a cylinder is the number of square units needed to cover its entire surface. The formula for the surface area of a cylinder is equal to the total surface area of the cylinder’s bases plus the surface area of its sides, and is written as:

**Surface Area = 2πrh + 2πRh + 2(πR ^{2} – πr^{2})**

Where R is the radius of the outer surface while r is the radius of the inner surface.

**Also Read**: Difference Between PERT & CPM with Examples

## Example of Volume Of Hollow Cylinder

The hollow cylinder has a height of 14 m, the outer radius of the surface of the hollow cylinder is 4 m, and the inner diameter of the surface is 3 m. Find the volume of the hollow cylinder.

**Given Data:**

As we know that the value of π = 22/7

The radius of outer surface R = 4m

The radius of the inner surface, r = 3m

Height h = 14m

The volume of hollow cylinder =?

**Solution:**

The Volume of hollow cylinder = πh (R^{2} – r^{2})

= 22/7 × 14 (4^{2} – 3^{2})

= 308 m^{3}

Let suppose, the cost of material per m3 is 100 rupees

Then,

Cost of material for 308 m^{3} = volume of pipe × cost of material per m^{3}

= 308 × 100 = 30800 rupees

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