NCERT Solutions for Class 9 Maths Chapter 13
Important NCERT Questions
Surface Areas and Volumes
NCERT Books for Session 2022-2023
CBSE Board, UP Board and Other state Boards
EXERCISE 13.6
Page No:230
Questions No:1
The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? (1000 cm³= 1l)
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Circumference of the base of a cylindrical vessel C = 132 cm height h = 25 cm
Let, the radius of cylindrical vessel = r cm
Circumference of base of cylindrical vessel = 2πr
⇒ 132 = 2πr ⇒ 132 = 2 × 22/7 × r
⇒ r = (132 × 7/22 × 2) ⇒ r = 21 cm
Volume of cylindrical vessel = πr²h
= 22/7 × 21 × 21 × 25
= 34650 cm³
= 34650/1000 = 34.65 litres [∵ 1000 cm³ = 1 litres]
Hence, the cylindrical vessel can hold 34.65 litres of water.
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