# NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.6 – Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

Get unlimited access to the best preparation resource for ISAT : Get full length tests using official NTA interface: all topics with exact weightage, real exam experience, detailed analytics, comparison and rankings, & questions with full solutions.

Q-1 The circumference of the base of a cylindrical vessel is and its height is . How many liters of water can it hold? ()

Solution:

- Let, the radius of the cylindrical vessel be
- Height (h) of vessel
- Circumference of vessel

We know that, circumference of the base of the cylindrical vessel

Therefore, capacity of the cylindrical vessel

- (Since, )

Therefore, vessel can hold liters of water.

Q-2 The inner diameter of a cylindrical wooden pipe is and its outer diameter is . The length of pipe is . Find the mass of the pipe, if of wood has a mass of .

Solution:

- Inner diameter
- Therefore, inner radius (r) =
- Outer diameter
- Therefore, outer radius (R)
- Outer volume
- Inner volume

Since the inner volume is empty, volume of the wood used = outer volume - inner volume

Since, of wood has a mass of , therefore mass of the pipe =