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

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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