Surface area of a cylinder

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

 * 1) The cylinder is a 3 dimensional solid having curved lateral surface with two circular surfaces on either sides.
 * 2) Basics of circle and rectangle.
 * 3) Formula to find the area of a circle and a rectangle.

Materials/ Resources needed
Digital: Laptop, internet link, projector and a pointer.

Geogebra file:

Process (How to do the activity)
Developmental Questions:
 * 1) The teacher can initially discuss about cylinder as a shape and explain its parts.
 * 2) She can then talk about what area means.
 * 3) Discuss regarding surfaces to be covered in deriving the formula for surface area of the cylinder.
 * 4) Project the video and discuss.
 * 1) Can youn identify the shapes of the open cylinder?
 * 2) What is the radius of the circle ?
 * 3) What is the formula to find the circumference of the circle.
 * 4) Into what shape does the curved surface of the cylinder opens ?
 * 5) What are the measures of height and breadth of the rectangle?
 * 6) What is the formula to find the area of the rectangle ?
 * Evaluation:
 * 1) Can you explain the conversion of circumference of the circle into the length of the rectangle ?
 * Question Corner:
 * 1) What is the difference between lateral and total surface area ?
 * 2) What are the formulae for lateral surface area and total surface area ?
 * 3) Name a few situations wherin one may have to find only the lateral surface area of the cylindrical object ?