# 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:

Height

Therefore, volume of the cone

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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