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Total surface area of a Right Circular Cone
TSA = πr(l + r)
Where: TSA = Total surface area, l = slant height, r = radius of the base
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: l = 7, r = 5
Find: TSA_ (Total surface area)
- Formula: TSA = π·r·(l + r)
- Substitute the values: TSA = π·5·(5 + 7)
- Result: TSA = 188.495559
Answer: TSA_ = 188.495559
Calculator
How to calculate Total surface area of a Right Circular Cone
- Write down the formula: TSA = πr(l + r).
- Note the known values (l, r).
- Substitute them and simplify to find TSA_.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Total surface area of a Right Circular Cone?
The formula is TSA = πr(l + r), where TSA = Total surface area, l = slant height, r = radius of the base.
What is Total surface area of a Right Circular Cone when l = 7, r = 5?
TSA_ = 188.495559. Substitute the values into TSA = πr(l + r) and simplify.