Question

Q.4 The diameter of the moon is approximately one - fourth the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

Answer 1

Let the diameter of moon be d
earth be D
Given d = (1/4)
D Hence (d/D) = (1/4) Hence (r/R) = (1/4)
Volume of moon / Volume of earth = (4/3)πr3 / (4/3)πR3 = r3 / R3 = (r/R)3 = (1/4)3 = 1/64

Hence volume of moon will be (1/64)th volume of earth

Answer 2

the volume of moon is 1/64 times the volume of earth.