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.