Ex 11.4

Chapter 11 Class 9 Surface Areas and Volumes
Serial order wise

Transcript

Ex 11.4 , 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? Let diameter of earth = x So, diameter of moon = ๐ฅ/4 Hence, Radius of earth = ๐ฅ/2 & Radius of moon = 1/2ร๐ฅ/4 = ๐ฅ/8 Now, (๐๐๐๐ข๐๐ ๐๐ ๐๐๐๐)/(๐๐๐๐ข๐๐ ๐๐ ๐๐๐๐กโ) = (4/3 ๐(๐๐๐๐๐ข๐  ๐๐ ๐๐๐๐)^3)/(4/3 ๐(๐๐๐๐๐ข๐  ๐๐ ๐๐๐๐กโ)^3 ) = (๐๐๐๐๐ข๐  ๐๐ ๐๐๐๐)^3/(๐๐๐๐๐ข๐  ๐๐ ๐๐๐๐กโ)^3 = (๐ฅ/8)^3/(๐ฅ/2)^3 = (๐ฅ^3/8^3 )/(๐ฅ^3/2^3 ) = ๐ฅ^3/8^3 ร 2^3/๐ฅ^3 = 2^3/8^3 = (2 ร 2 ร 2)/(8 ร 8 ร 8) = 1/(4 ร 4 ร 4) = 1/64 โด (๐๐๐๐ข๐๐ ๐๐ ๐๐๐๐)/(๐๐๐๐ข๐๐ ๐๐ ๐๐๐๐กโ) = 1/64 Volume of moon = 1/64 (Volume of earth) Hence, the volume of the earth is 1/64 of the volume of the earth.