⅓πr²h: Real-world Applications in Architecture & Design
Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet applying the formula for the volume of cones (⅓πr²h) in real-world architectural and design contexts to enhance procedural skills and problem-solving abilities.
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⅓πr²h: Real-world Applications in Architecture & Design
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the volume of a cone with radius 4 cm and height 9 cm.
[2 marks]2.
A conical architectural feature has a radius of 3 meters and a height of 12 meters. Find its volume.
[2 marks]3.
A designer is constructing a lamp with a conical shade of radius 5 inches and height 10 inches. Calculate its volume.
[3 marks]4.
Plot the graph of y = 2x for x from 0 to 10 on the grid.
[2 marks]5.
Construct a cone with a radius of 6 cm and height of 15 cm on the grid. Show its approximate shape.
[3 marks]6.
A monument features a conical spire with a radius of 2 meters and a height of 20 meters. Calculate its volume.
[2 marks]7.
A cone’s radius is doubled while its height remains the same. How does its volume change?
[2 marks]8.
In an architectural model, a conical tower has a radius of 3 meters and a height of 10 meters. Find the volume and explain how changing the radius to 6 meters would affect the volume.
[4 marks]9.
Identify and correct the mistake: A student calculated the volume of a cone with radius 5 cm and height 10 cm as 250 cm³, using the formula ⅓πr²h.
[3 marks]10.
A new design feature requires a conical shape with a volume of exactly 200 cubic centimeters. If the height is 8 cm, what should be the radius?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet