Explore
Surface Area of Cones Flashcards
GCSE Mathematics (Edexcel) 1MA1
Ready to master these flashcards?
Sign in to study with spaced repetition and track your progress.
Sign In to Track ProgressTerms in this set (10)
Surface area of a cone formula
The surface area of a cone is given by the formula: πr² + πrl, where r is the radius and l is the slant height.
What does 'r' represent in the cone formula?
'r' represents the radius of the circular base of the cone.
What does 'l' represent in the cone formula?
'l' represents the slant height of the cone, which is the distance from the base to the apex along the cone's surface.
How to calculate the curved surface area of a cone
The curved surface area of a cone is given by the formula: πrl.
How to calculate the total surface area of a cone
The total surface area of a cone is the sum of the curved surface area and the area of the circular base: πr² + πrl.
Units for surface area
Surface area is measured in square units, such as cm² or m².
How to find the slant height (l) if not given
Use Pythagoras' Theorem: l = √(r² + h²), where h is the perpendicular height of the cone.
What is the area of the circular base of a cone?
The area of the circular base is given by the formula: πr².
Key steps to find the surface area of a cone
1. Calculate the area of the base (πr²). 2. Calculate the curved surface area (πrl). 3. Add the two areas together.
Common mistake when calculating surface area of a cone
Forgetting to add the area of the circular base to the curved surface area when finding the total surface area.
Want to Learn More?
Get personalised lessons, quizzes, and instant feedback from your AI tutor.
Start Learning