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:4

# If the volume of a right circular cone of height 9 cm is 48 π cm³, find the diameter of its base.

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Volume of cone V = 48π cm³ and height h = 9 cm

Let, the radius of base of cone = r cm

Volume of cone = 1/3πr²h

⇒ 48π = 1/3 × π × r² × 9 ⇒ 48π = π × r² × 3 ⇒ r² = 48π/π×3 = 16 ⇒ r = √16 = 4 cm

Therefore, the diameter of base = 2 × 4 = 8 cm

Hence, the diameter of base of cone is 8 cm.