NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.6 – Part 1
Get unlimited access to the best preparation resource for NEST Mathematics: fully solved questions with step-by-step explanation- practice your way to success.
Volumes of Common Solids
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 =