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.