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:4
The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?
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Let, the radius of Earth be R
Therefore, the diameter of Earth = 2R
According to question, diameter of moon = 1/4(2R)
So, the radius of moon = 1/4(2R)/2 = (1/4)R
Volume of moon/Volume of Earth = 4/3π(1/4R)³/4/3π(R)³ = 1/64R³/R³ = 1/64
⇒ Volume of moon = 1/64 × volume of Earth
Hence, the volume of moon is 1/64 the volume of Earth.