A right circular cone has two surfaces: the flat circular base and the curved wall. The Curved Surface Area (CSA) refers ONLY to the area of the curved wall, excluding the base.
CSA of Cone: πrl.
TSA of Cone: πr(l + r).
Slant height formula: l = √(r² + h²).
CSA does NOT include the bottom flat circle.
CSA of a Cone = πrl
Where:
Often, exam problems give you the straight height (h) instead of the slant height (l). You must use Pythagoras theorem to find 'l' first:
l² = r² + h² l = √(r² + h²)
If you need the Total Surface Area, you add the area of the circular base (πr²) to the CSA: TSA = πrl + πr² TSA = πr(l + r)
The formula for the curved surface area of a cone is πrl, where 'r' is the radius and 'l' is the slant height.
The slant height (l) is found using the Pythagorean theorem: l = √(r² + h²), where r is radius and h is straight height.
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