Surface Area Of A Right Circular Cylinder
Chapter Name : Surface Areas And Volumes |
Sub Topic Code : 104_09_13_03_01 |
Topic Name : Surface Area Of A Right Circular Cylinder |
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Sub Topic Name : Surface Area Of A Right Circular Cylinder |
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Introduction
• Surface area is the area that the outside of a multi-dimensional body has. • A prism shaped solid whose bases are circles is a cylinder. • In this section surface area of a circular cylinder is derived.
Pre-Requisites:
• Knowledge of square, rectangles and circles. • Knowledge of areas and perimeters.
Activity:
You will observe that by finding area of rectangular paper and height you will get curved surface area of Pepsi can.
Real Life Question:
How much material is required for the label of Pepsi can which is 2.6 inches in diameter and 4.75 inches tall?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Surface area | Area of outside multi-dimensional body. |
| Prism | A prism has two ends that have exactly the same size and shape. |
| Diameter | It is the line segment that passes through the center of circle with Both its end points lying on circle. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Pepsi can rectangular sheet paper. | Take rectangular sheet of paper which is enough to go round Pepsi can and whose breadth is equal to height of can. |
Real life uses :
Cylinders are used as containers for many items. The circular shape gives maximum perimeter and thus making cylinders more economical.
Places to visit :
Look for things in your house which are cylindrical in shape?
Practical examples around us
| Examples | Explainations |
|---|---|
| How much sheet metal is used in construction of water tank which is in the shape of right circular cylinder? | In this question what they are asking is surface area of water tank. If surface area is known then we get the minimum amount of sheet metal required. |
What you learn in Theory:
Surface area of cylinder is sum of the area of its faces. A cylinder is made up of one rectangle and two circles. To find one dimension of rectangle we calculate circumference of circle.
What you learn in Practice:
We need to know Surface area of circular cylinder like to determine how much material is required for a company to make circular can to store tennis balls.