πr² + πrl: Real-world Applications
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the surface area of cones using the formula πr² + πrl through real-world contexts and varied problem types.
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πr² + πrl: Real-world Applications
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the surface area of a cone with a radius of 3 cm and a slant height of 5 cm using the formula πr² + πrl. Provide your answer rounded to two decimal places.
[3 marks]2.
A conical tent has a radius of 2.5 meters and a slant height of 4 meters. Find its total surface area.
[3 marks]3.
A funnel has a radius of 10 cm and a slant height of 12 cm. What is its surface area? Give your answer rounded to one decimal place.
[3 marks]4.
A school plans to build a conical water tank with a radius of 1.8 meters and a slant height of 2.5 meters. Calculate the surface area of the tank for painting purposes.
[3 marks]5.
Construct a cone with a radius of 4 cm and a slant height of 6 cm. Calculate its surface area. Show all working in the grid.
[3 marks]6.
A cone-shaped sculpture has a radius of 0.5 meters and a slant height of 0.8 meters. Find the surface area needed to coat it with paint.
[3 marks]7.
A conical party hat has a radius of 15 cm and a slant height of 20 cm. Calculate its surface area.
[3 marks]8.
A manufacturer needs to produce 100 conical lampshades, each with a radius of 0.3 meters and a slant height of 0.5 meters. What is the total surface area of all lampshades combined?
[4 marks]9.
A conical ice cream cone has a radius of 4 cm and a slant height of 6 cm. Find the surface area to the nearest square centimeter.
[3 marks]10.
A cone-shaped sculpture has a radius of 2 meters and a slant height of 3 meters. Calculate the surface area to the nearest tenth.
[3 marks]11.
A student mistakenly calculated the surface area of a cone as 50 cm² using the formula πr² + πrl. If the actual radius is 3 cm and the slant height is 4 cm, what is the correct surface area? Show your calculations.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet