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 ,