The cylinder is one of the 3-D solid figures in geometry. This geometrical shape can be easily found in daily life such as toilet paper rolls, cans and even the leaning tower of Pisa is in a cylindrical shape. This figure is formed with two parallel bases that are joined by the curved surface at a certain distance.
The distance between these two circular bases is the perpendicular distance and is known as the height of the cylinder. The bases of the cylinder are congruent to one another. The size of the cylinder varies as it depends upon the radius of the cylinder and also the height of the curved surface. One of the major properties of the cylinder is the surface area of the cylinder.
The surface area of a cylinder is the total space that is covered by the circular base and also the curved surface area. The surface area of a cylinder is nothing but the area of the circular base and its curved area which is of the rectangle where height represents its length and the circumference as the width. The surface area of a cylinder is of two types i.e. total surface area and flat surface area of the cylinder.
As there are two types of surface area of the cylinder, thereby there are two different formulas that are used for their calculation. For the purpose of calculation of surface area, donate “r” as the radius of the cylinder and “h” as the height of the cylinder.
- The curved surface area represents the area of the curved part of the cylinder.
CSA= 2πrh
- The total surface area of the cylinder includes the area of both the bases as well as the curved part of the cylinder.
TSA= 2πr2+2πrh = 2πr (h+r)
By applying these formulas there will be no issue faced in the calculation of surface area whether total surface area or curved surface area. To get an understanding of the formula in a more effective way the right approach is to understand how the formula of the surface area of a cylinder is derived.
Besides the surface area, the volume of cylinder is another important property of a cylinder. To get all the doubts cleared about cylinder one must only rely on experts help such as Cuemath that with their quality material and skilled team can help you to overcome every single doubt of yours.
The area is the space that is occupied by the object. This is true for any shape including the cylinder. The cylinder is formed by two circular bases and one curved surface that is nothing but a rectangle when it opens up.
When the parts of the cylinder are separated we get two circles with radius r and a rectangle whose height is the same as the height of the cylinder and length is nothing but the circumference i.e. 2πr. Thus for the purpose of calculating the curved surface area all we need to do is to multiply the length with the height i.e. 2πrh. Whereas for total surface area we add the area of two circular bases with that of the curved surface area i.e. 2πr2+2πrh = 2πr (h+r). Thus this is the way we arrive at the formulas for both curved and total surface area of the cylinder.
The calculation of surface area involves some steps that one needs to follow so that no mistake is made. With the following proper method, one will face no problem in the calculation of surface area. These are mentioned below:
- First of all, one needs to find the radius of the circular base as well as the height of the cylinder. It is important for the purpose of surface area calculation then both the height and radius must be in the same units.
- According to a given situation, one must determine whether to calculate the total or curved surface area.
- After determining implement the formula and then in the end denominate the answer in terms of square units.