The curved surface area of a cone refers to the total area of the curved or slanted part of the cone, excluding the base. The formula to calculate the curved surface area of a cone is:
Cone Surface Area Calculator
Curved Surface Area = π * r * l
where:
- π (pi) is a mathematical constant approximately equal to 3.14159.
- r is the radius of the base of the cone.
- l is the slant height of the cone.
The slant height (l) can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse (slant height) is equal to the sum of the squares of the other two sides. In the case of a cone, the slant height (l) can be calculated using the radius (r) and the height (h) of the cone:
l = √(r^2 + h^2)
Once you have the radius (r) and the slant height (l), you can calculate the curved surface area of the cone using the formula mentioned earlier.
It’s important to note that the units used for radius and height should be consistent (e.g., both in centimeters, meters, etc.) to obtain the area in the corresponding square units.
Keep in mind that the formula mentioned above calculates only the curved surface area of the cone. If you need to calculate the total surface area (including the base), you would need to add the area of the base as well, which is given by the formula:
Base Area = π * r^2
Total Surface Area = Curved Surface Area + Base Area.
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