Question

the diameter of moon is one fourth the diameter of the earth find the ratio of their volume​

Answer 1

Step-by-step explanation:

Given The diameter of moon is one fourth the diameter of the earth find the ratio of their volume

• Let diameter of earth be x
• So diameter of moon is x / 4
• Therefore radius of earth = x / 2
• Radius of moon is 1/2 x x / 4
•                                   = x / 8  
• Let V1 be volume of earth
• V2 be the volume of moon
• So volume of sphere is 4 / 3 π r^3
• V1 = 4/3 π (x / 2)^3
•      = π / 6 x^3
• V2 = 4/3 π (x/8)^3
•      = π / 384 x^3
• Now V1 / V2 = 1 / 64
• So ratio V1 : V2 = 1 : 64

Reference link will be

https://brainly.in/question/1934652

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