NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.7 – Part 1
By the Pythagoras theorem,
Q1 Find the volume of the right circular cone with

Radius , height

Radius , height
Solution:

Radius
Height
Therefore, volume of the cone


Radius Height
Volume of the cone
Q2 Find the capacity in liters of a conical vessel with

Radius , slant height

Height , slant height
Solution:

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


Height Slant height
Consider the radius of the conical vessel . Again using Pythagoras theorem,
Volume of the cone
Therefore, capacity of the vessel ,