How can i solve this tough question of class 9^{th} ncert of Surface areas and Volumes of math of exercise 13.8 of question no.4. Give me the best and simple way for solving this question. 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?

AnilSinghBoraGuru

# 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? Q.4

Share

Let the diameter of earth be “d”. Therefore, the radius of earth will be will be d/2

Diameter of moon will be d/4 and the radius of moon will be d/8

Find the volume of the moon :

Volume of the moon = (4/3) πr

^{3 }= (4/3) π (d/8)^{3}= 4/3π(d^{3}/512)Find the volume of the earth :

Volume of the earth = (4/3) πr

^{3}= (4/3) π (d/2)^{3}= 4/3π(d^{3}/8)Fraction of the volume of the earth is the volume of the moon

Answer: Volume of moon is of the 1/64 volume of earth.