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The diameter of the moon is approximatel...

The diameter of the moon is approximately `1/4` of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon.

Text Solution

Verified by Experts

`D=2r`
`D_m/D_e=(2rm)/(2re)=1/4`
`r_m=r_e/4`
`V_e=4/3pir_e^3`
`V_m=4/3pir_m^3=4/3pi(r_e/4)^3=1/64*4/3*pir_e^3`
`V_m=V_e/64`
Volume of noon is 1/64 part of volume of earth.
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