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 13.7
Page No:233
Questions No:3
The height of a cone is 15 cm. If its volume is 1570 cm³, find the radius of the base.
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Volume of cone V = 1570 cm³ and height h = 15 cm
Let, the radius of base of cone = r cm
Volume of cone = 1/3πr²h
⇒ 1570 = 1/3 × 3.14 × r² × 15 ⇒ 1570 = 3.14 × r² 5 ⇒ r² = 1570/(3.14×5) = 100
⇒ r = √100 = 10 cm
Hence, the radius of base of cone is 10 cm.