Lesson 5 · Cost Estimation

Surface Area of Cone

MathematicsSubject
8 minEstimated read
1Do an ice cream cone and a birthday cap have the same shape? What is the shape of these solid objects?
2A birthday cap is cut with scissors and spread on the table. Which shape does it change into?
3What is the relationship between the radius, the height and the slant height of a cone?
4A cone has base radius 7 cm and vertical height 24 cm. Find its slant height, curved surface area and total surface area.
5A conical tent with no floor has a base radius of 3.5 m and a slant height of 6 m. How much canvas is needed to make it?
6The curved surface area of a cone is 550 cm² and its base radius is 7 cm. What is its slant height?
7When a sector is bent into a cone, why is the arc of the sector equal to \( 2 \pi r \)?
8Explain how rearranging the pieces of the curved surface gives \( \text{CSA} = \pi r l \).
9For a cone with base radius 7 cm, what is the difference between its total surface area and its curved surface area?