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 (R2 – r2)
- 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(πR2 – πr2)
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.
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 =?
The Volume of hollow cylinder = πh (R2 – r2)
= 22/7 × 14 (42 – 32)
= 308 m3
Let suppose, the cost of material per m3 is 100 rupees
Cost of material for 308 m3 = volume of pipe × cost of material per m3
= 308 × 100 = 30800 rupees
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