NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.7 – Part 1

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By the Pythagoras theorem,

Q-1 Find the volume of the right circular cone with

1. Radius , height

2. Radius , height

Solution:

1. Radius

Height

Therefore, volume of the cone

2. Radius Height

Volume of the cone

Q-2 Find the capacity in liters of a conical vessel with

1. Radius , slant height

2. Height , slant height

Solution:

1. Radius Slant height

Consider the height of the conical vessel . Then by applying Pythagoras theorem,

Now, volume of the cone

Therefore, capacity of the vessel

2. Height Slant height

Consider the radius of the conical vessel . Again using Pythagoras theorem,

Volume of the cone

Therefore, capacity of the vessel ,

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