Therefore, the volume of cone= (1/3) × A × h. Let A = Area of base of the cone and h = height of the cone. The formula to find the volume of a cone, whose radius is 'r' and height is 'h' is given as, Volume = (1/3) πr 2h cubic units. The volume of a cone is the space occupied by the cone. So, whenever we are asked to calculate the surface area of the cone, it means we have to find the total surface area. Total surface area is sometimes referred to as only surface area. Total Surface Area (TSA) = Area of the base (Circle) + Curved Surface Area of the Cone(CSA). In other words, it is the sum of the curved surface area of the cone and the area of the circular base, which can be written mathematically as: Total surface area is the sum of the area of the circular base and the area of the curved part of the cone. For a cone of radius 'r', height 'h', and slant height 'l', the curved surface area is as follows:Ĭurved Surface Area = πrl square units. The curved surface area of a cone is the area enclosed by the curved part of the cone. The formula for the slant height of the cone is 'l' = \(\sqrt\) Curved Surface Area of Cone If the slant height of the cone is 'l' and the height is 'h' and the radius is 'r', then l 2 = r 2 + h 2. The slant height of a cone is obtained by finding the sum of the squares of radius and the height of the cylinder which is given by the formula given below. They are the slant height of a cone, the volume of a cone, and its surface area. There are three important formulas related to a cone.
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