2πr² + 2πrh: Fluency & Practice
Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focused on calculating the surface area of cylinders using the formula 2πr² + 2πrh. Designed for fluency development and practice.
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2πr² + 2πrh: Fluency & Practice
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 surface area of a cylinder with a radius of 3 cm and height of 10 cm using the formula 2πr² + 2πrh.
[3 marks]2.
A cylindrical water tank has a radius of 4 meters and a height of 5 meters. Find its surface area.
[3 marks]3.
A can has a radius of 2.5 inches and a height of 8 inches. What is the total surface area of the can?
[3 marks]4.
A cylinder has a surface area of 150 square centimeters. If the radius is 3 cm, find the height of the cylinder.
[4 marks]5.
Construct a cylinder with a radius of 6 cm and a height of 12 cm. Calculate its surface area.
[3 marks]6.
A cylindrical pencil holder has a radius of 4 cm and a height of 10 cm. What is its surface area? Show your working.
[4 marks]7.
A cement pipe has a radius of 0.75 meters and a length of 4 meters. Calculate its surface area.
[3 marks]8.
A cylindrical silo with radius 5 meters and height 15 meters needs painting. Find the total area to be painted.
[3 marks]9.
If a cylinder’s surface area is 314 square centimeters and its radius is 4 cm, what is its height? Show your calculations.
[4 marks]10.
A cylinder has a radius of 5 cm and a height of 8 cm. Calculate its surface area and identify any common mistake students might make in this calculation.
[4 marks]11.
Plot the graph of y = 2x for x from 0 to 10 on the grid, then construct a cylinder with radius 3 cm and height 2x when x = 5.
[2 marks]12.
Challenge: A cylinder with radius r and height h has a surface area of 300 cm². If the radius is doubled, what is the new surface area? Show your reasoning.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet