Difference between revisions of "Surface area of a cylinder"
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+ | The shape can be thought of as a circular prism. Cylinder could be closed or open. Surface areas for a cylinder is investigated. | ||
=== Objectives === | === Objectives === | ||
− | + | To find surface area of a cylinder | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
===Estimated Time=== | ===Estimated Time=== | ||
+ | 40 minutes. | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
− | + | #The cylinder is a 3 dimensional solid having curved lateral surface with two circular surfaces on either sides. | |
+ | #Basics of circle and rectangle. | ||
+ | #Formula to find the area of a circle and a rectangle. | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
− | + | Digital: Laptop, internet link, projector and a pointer. | |
− | |||
− | + | Geogebra file: {{Geogebra|eazf9apm}} | |
− | What are the | + | ===Process (How to do the activity)=== |
− | + | #The teacher can initially discuss about cylinder as a shape and explain its parts. | |
− | + | #She can then talk about what area means. | |
+ | #Discuss regarding surfaces to be covered in deriving the formula for surface area of the cylinder. | ||
+ | #Project the video and discuss. | ||
+ | Developmental Questions: | ||
+ | #Can youn identify the shapes of the open cylinder? | ||
+ | #What is the radius of the circle ? | ||
+ | #What is the formula to find the circumference of the circle. | ||
+ | #Into what shape does the curved surface of the cylinder opens ? | ||
+ | #What are the measures of height and breadth of the rectangle? | ||
+ | #What is the formula to find the area of the rectangle ? | ||
+ | *Evaluation: | ||
+ | #Can you explain the conversion of circumference of the circle into the length of the rectangle ? | ||
+ | *Question Corner: | ||
+ | #What is the difference between lateral and total surface area ? | ||
+ | #What are the formulae for lateral surface area and total surface area ? | ||
+ | #Name a few situations wherin one may have to find only the lateral surface area of the cylindrical object ? | ||
− | + | [[Category:Mensuration]] |
Latest revision as of 04:07, 11 November 2019
The shape can be thought of as a circular prism. Cylinder could be closed or open. Surface areas for a cylinder is investigated.
Objectives
To find surface area of a cylinder
Estimated Time
40 minutes.
Prerequisites/Instructions, prior preparations, if any
- The cylinder is a 3 dimensional solid having curved lateral surface with two circular surfaces on either sides.
- Basics of circle and rectangle.
- Formula to find the area of a circle and a rectangle.
Materials/ Resources needed
Digital: Laptop, internet link, projector and a pointer.
Geogebra file:
Download this geogebra file from this link.
Process (How to do the activity)
- The teacher can initially discuss about cylinder as a shape and explain its parts.
- She can then talk about what area means.
- Discuss regarding surfaces to be covered in deriving the formula for surface area of the cylinder.
- Project the video and discuss.
Developmental Questions:
- Can youn identify the shapes of the open cylinder?
- What is the radius of the circle ?
- What is the formula to find the circumference of the circle.
- Into what shape does the curved surface of the cylinder opens ?
- What are the measures of height and breadth of the rectangle?
- What is the formula to find the area of the rectangle ?
- Evaluation:
- Can you explain the conversion of circumference of the circle into the length of the rectangle ?
- Question Corner:
- What is the difference between lateral and total surface area ?
- What are the formulae for lateral surface area and total surface area ?
- Name a few situations wherin one may have to find only the lateral surface area of the cylindrical object ?