write the formula to find the surface area of cylinder
Answers
Formula of Surface Area of a Cylinder
The formula of the surface area of the cylinder is used to find the surface area occupied by the bases of the cylinder within its boundary and the curved surface of the cylinder. As a cylinder has a curved surface, thus we can express its curved surface area as well as total surface area. A cylinder has two kinds of surface area:
Total Surface Area
Curved Surface Area
If the radius of the base of the cylinder is "r" and the height of the cylinder is "h", the surface area of a cylinder is given as:
Total Surface Area, T = 2πr(h + r)
Curved Surface Area, S = 2πrh
Curved Surface Area of Cylinder
The curved surface area of a cylinder is the area covered by the curved surface. The formula to calculate the curved surface area of a cylinder is given as,
The curved surface area of cylinder = 2πrh
where,
- r = Radius of the base of the cylinder
- h = Height of cylinder
Total Surface Area of Cylinder
The total surface area of the cylinder is obtained by adding the area of the two bases and the area of the curved surface area. Thus, the formula for the surface area of the cylinder is given as,
Total surface area of cylinder = 2πr2+2πrh = 2πr(h+r)
where,
- r = Base radius of the cylinder
- h = Height of cylinder
Step-by-step explanation:
CSA= 2πrh
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