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:4
If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find (i) radius of its base. (ii) its volume. (Use π= 3.14)
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(I) Lateral surface area of cylinder C = 94.2 cm² and height h = 5 cm.
Let, the radius of cylinder = r cm
Lateral surface area of cylinder C = 2πrh
⇒ 94.2 = 2 × 3.14 × r × 5 ⇒ r = (94.2)/(3.14×10) = 3 cm
Hence, the radius of base is 3 cm.
(II) Volume of cylinder = πr²h = 3.14 × 3 × 3 × 5 = 141.3 cm³
Hence, the volume of cylinder is 141.3 cm³.