Write the formula to find area of cylinder and cone
Answers
Answer:
Step-by-step explanation:
Curved Surface Area
The curved surface area of a cylinder (CSA) is defined as the area of the curved surface of any given cylinder having base radius ‘r’, and height ‘h’, It is also termed as Lateral surface area (LSA). The formula for a curved area or lateral area is given by;
CSA or LSA = 2π × r × h Square units
Base Area of Cylinder
The base of the cylinder is in a circular shape. Hence, by the formula of area of the circle, we know,
Area of the circular bases of cylinder = 2 (πr2) [Since the cylinder has two circular bases]
Total Surface Area of Cylinder
The total surface area of a cylinder is equal to the sum of areas of all its faces. The Total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.
TSA = 2π × r × h + 2πr2= 2πr (h + r) Square units
Curved Surface Area of a Cone
The curved surface of a cone is the area of the cone excluding the base. In other words, it is the area of the cone when it is unfolded as shown in the above figure as an unrolled lateral area. The formula to calculate the curved surface area of a cone is given by:
Curved Surface Area (CSA) = πrl
Here,
r = Radius of the circular base of the cone
l = Slant height of the cone
When the cone is in the form of an unrolled lateral area, r is referred to as the length of the arc of a sector and l is referred to as the radius of the sector.
Total Surface Area of a Cone
The total surface area of a cone is defined as the total area of the cone occupied in a three-dimensional area. It is equal to the sum of the curved surface and the base of the cone. The formula to calculate the total surface area of a cone is given by:
Total Surface Area (TSA) = CSA + Area of Circular Base
TSA = πr(r + l)
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