The difference in surface area between the outer and inner curved surfaces of a 14 cm long hollow right circular cylinder is 88 cm2. 88 cm2 outer curved surface area and 88 cm2 interior curved surface area As a result, the curved surface area of a cylinder is 2prh, where r is the radius and h is the cylinder's height. Cylinders are usually made of metal or plastic, but cylinders of some synthetic materials with appropriate dimensions can be used as alternatives. The term "cylinder" also applies to objects whose cross-sections are circular even though they may not be perfectly so, such as drums and barrels.
Cylinders are used in many applications where space is limited, including but not limited to: car engines, ballpoint pens, spray cans, and fuel injectors for engines of motor vehicles and other machinery.
In mathematics, the word "cylinder" also refers to any curve that resembles one of these shapes. Thus, a bicycle wheel is composed of two cones joined by a circular rim, and a tricycle has three wheels arranged in a triangular pattern.
Cylinders are commonly described by their diameter, depth, and height. For example, a 20 mm diameter cylindrical tank would have an internal volume of about 180 ml.
A cylinder's axis of symmetry is the line that runs through its center and divides it into two equal parts.
The curved surface area of a hollow right cylinder with circular ends of radius r may be flattened into a rectangle whose width equals the cylinder's height (h) and length equals the circumference of the circular end, which equals 2 pi r. The base to height ratio of a cylinder is 7:6. The surface area of the cylinder is thus:
Where πr^2 = h.
Therefore, the curved surface area of a hollow right cylinder is 4πr^2. If we assume that the density of the cylinder is constant, then its volume is proportional to the square of its radius, so the curve area is proportionate to the volume squared, or l(ρ)² where l is the length of the curve segment and ρ is its average density. If we now divide the curve area by the volume, we obtain the CSAlength/volume ratio for a hollow right cylinder:
Or in other words, the specific gravity of a hollow right cylinder.
For example, if we take out a strip of paper from a can of soda and roll it up into a rope, then it will appear as if it was hollow, but it's really just thin walled cans joined together at their ends. The specific gravity of a rope is about 1.5, so the specific gravity of a can is about 0.5.
The total surface area of a cylinder is calculated as total surface area of a cylinder = 2pr(h + r), whereas the curved surface area of a cylinder is calculated as curved/lateral surface area of a cylinder = 2prh, where "r" is the radius of the base and "h" is the height of the cylinder. Therefore, the curved/lateral surface area of a cylinder is always greater than the total surface area of a cylinder.
In practical cases, the total surface area of a cylinder is usually much less than the curved/lateral surface area because there are many flat surfaces that are not included in the calculation.
The curved/lateral surface area of a cylinder is important in understanding how much surface area a cylinder has when it is used for certain applications such as gas storage or heat transfer. For example, one common method for storing large amounts of gas is to use cylinders as containers for holding pressurized air or other gases. The overall size of the cylinder does not matter as long as there is enough space for placing more than one container. The volume of each container is equal to the volume of a cylinder times the depth of its hole. So, for example, if two cylinders with 10-inch deep holes have the same volume as a single cylinder with a depth of 20 inches, then they must be twice as tall as the single cylinder.