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Curved surface area of a Frustum of a Cone
CSA = πl(R + r)
Where: CSA = Curved surface area, R = bottom radius, l = slant height, r = top radius
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: R = 7, l = 5, r = 10
Find: CSA_ (Curved surface area)
- Formula: CSA = π·l·(R + r)
- Substitute the values: CSA = π·5·(10 + 7)
- Result: CSA = 267.035376
Answer: CSA_ = 267.035376
Calculator
How to calculate Curved surface area of a Frustum of a Cone
- Write down the formula: CSA = πl(R + r).
- Note the known values (R, l, r).
- Substitute them and simplify to find CSA_.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Curved surface area of a Frustum of a Cone?
The formula is CSA = πl(R + r), where CSA = Curved surface area, R = bottom radius, l = slant height, r = top radius.
What is Curved surface area of a Frustum of a Cone when R = 7, l = 5, r = 10?
CSA_ = 267.035376. Substitute the values into CSA = πl(R + r) and simplify.