Surface Area of a Cone Calculator
Calculates the surface area of a cone from the measurements you enter. Use any unit, as long as all inputs use the same one.
Result
- Surface area
- 254.1602
How to use the surface area of a cone calculator
- Enter the radius.
- Enter the height.
- The results update as you type, or press Calculate.
- Read the surface area first, then the supporting figures below it.
Formula
πr(r + √(h² + r²))
Worked example
For example, with these inputs:
- Radius: 5
- Height: 10
the calculator returns:
- Surface area: 254.1602
Background
Calculators are best used to check working rather than replace it, especially for exams where method marks count. Work the problem by hand first, then confirm with the calculator.
Each formula has assumptions built in. Area formulas assume flat shapes, volume formulas assume regular solids and statistical measures assume the data you enter is the data you want to describe. Knowing the assumptions helps you pick the right tool.
Frequently asked questions
How does the surface area of a cone calculator work?
It applies this formula: πr(r + √(h² + r²))
Can I use any units?
Yes, as long as every input uses the same unit. The answer will be in that unit (squared for areas, cubed for volumes).