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 13.8

Page No:236

Questions No:7

# Find the volume of a sphere whose surface area is 154 cm².

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Surface area of sphere A = 154 cm²

Let, the radius of sphere = r cm

We know that the surface area of sphere = 4πr²

⇒ 154 = 4 × 22/7 × r²

⇒ r² = (154 × 7)/(22×4) = 49/4

⇒ r = √49/4 = 7/2

Volume of sphere = 4/2πr³

= 4/3 × 22/7 × (7/2)³

= 4/3 × 22/7 × 7/2 × 7/2 × 7/2

= 539/3 = 179(2/3) cm³

Hence the volume of sphere is 179(2/3) cm³.