Cone: Problem Solving & Reasoning
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet exploring various aspects of cones, including surface area, volume, and real-world applications, designed for Year 9 students to develop problem-solving and reasoning skills.
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Full preview • 12 questions
Cone: Problem Solving & Reasoning
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 volume of a cone with a radius of 5 cm and a height of 12 cm. Use π ≈ 3.14.
[3 marks]2.
Find the slant height of a cone with radius 6 cm and height 8 cm.
[2 marks]3.
A cone has a surface area of 200 cm². If the radius is 4 cm, find the slant height.
[3 marks]4.
Construct a cone on the grid with a radius of 3 cm and height of 9 cm. Label the height, radius, and slant height.
[3 marks]5.
Calculate the lateral surface area of a cone with radius 7 cm and slant height 10 cm. Use π ≈ 3.14.
[3 marks]6.
A toy cone has a base radius of 2.5 cm and height of 10 cm. Find its volume.
[3 marks]7.
A cone-shaped party hat has a slant height of 15 cm, radius 5 cm, and height 12 cm. Calculate its total surface area.
[4 marks]8.
A company produces conical bottles with a volume of 600 cm³. If the height of each bottle is 12 cm, find the radius of the bottle.
[4 marks]9.
A cone with radius 4 cm and slant height 9 cm is made. Calculate its surface area and identify any common mistake students might make in the calculation.
[4 marks]10.
A conical tent has a height of 8 meters and a base radius of 3 meters. If the material used for the sides is to be doubled in thickness, explain how this affects the surface area calculation.
[4 marks]11.
Identify and correct the mistake in the following calculation: A cone with radius 5 cm and height 12 cm has lateral surface area calculated as 2πrh instead of πrl.
[4 marks]12.
Plot the graph of y = 2x and construct a cone with height 6 units and base radius 3 units on the grid. Explain your steps.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet