Class 9 Maths | Chapter 9: Similar Figures | Exercise 9.3 | Question 6 | Punjab Boards
Автор: MathPhys
Загружено: 2026-03-05
Просмотров: 12
Описание:
This video explains how to solve Question 6 from Exercise 9.3 of Class 9 Maths, Chapter 9: Similar Figures, focusing on similar cylindrical water tanks (0:02).
The problem provides the following information:
The ratio of the heights of two similar cylindrical water tanks is 5:3 (0:12).
The larger tank has a surface area of 250 square meters (0:32).
The smaller tank has a volume of 270 cubic meters (0:46).
The video demonstrates how to find:
The surface area of the smaller tank (0:40). The formula used states that the ratio of the areas of similar figures is equal to the square of the ratio of their heights (1:39). By applying the given height ratio (5:3) and the larger tank's surface area (250 m²), the surface area of the smaller tank (A2) is calculated to be 90 square meters (2:05-2:40).
The volume of the larger tank (0:54). The formula for volumes of similar figures states that their ratio is equal to the cube of the ratio of their heights (3:37). Using the height ratio (5:3) and the smaller tank's volume (270 m³), the volume of the larger tank (V1) is calculated to be 1250 cubic meters (3:51-4:49).
The presenter encourages viewers to pause or rewind the video if they need clarification and asks for comments and suggestions for improvement (4:51).
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