NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.7 – Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Volume of Cone
Slant Height Radius and Height of Cone

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:

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 ,