Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.2 | Question 10

Question 10: In Fig. 13.12, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade.

Prerequisite

A closed cylinder has 3 surfaces:

  • Curved or lateral surface 
  • Top 
  • Base

The formula to calculate the curved surface area and total surface area are quite simple to learn and derive.

Lateral or curved surface area of cylinder = 2πrh

r = radius, h = height (or length)

Total surface area of cylinder = 2πr ( r + h ) 

r = radius, h = height (or length)

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
Derivation of formula – Surface area of cylinder
 

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