Question

moon diameter is approximately one fourth the diameter of the earth. What fraction is the volume of the moon of the volume of the earth

Answer 1

volume of earth is 4/3π(d/2)^3
volume of moon when the diameter of moon is one fourth of earth's diameter will be 4/3π(d/8)^3
therefore volume of earth is 64 times the volume of moon

Answer 2

⇒ Let the diameter of the earth be d metre.

⇒ And, the diameter of moon is d/4 metre.

⇒ V1 = Volume of earth

⇒ V2 = Volume of moon

⇒ Volume of sphere = 4/3 π (r^3)

⇒ V1 = 4/3π(d/2)^3

⇒ V1 = π/6(d)^3

⇒ V2 = 4/3π(d/8)^3

⇒ V2 = π/384(d)^3

⇒ V1/V2

⇒ 1/64