(6) Moon is seen to be of (1/2) ° diameter from the earth. What must be the relative size
compared to the earth?
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Answer:
size of earth is approximately 8 times size of moon
Explanation:
Diameter of earth =x
radius of earth is = x/2
diameter of moon=x/2
radius of moon is = x/2 ×1/2=x/4
volume of earth =4/3πr^3
volume of moon =4/3πr'^3
volume of moon/volume of earth= 4/3πr'^3/4/3πr^3
=r'^3/r^3
= (x/4)^3/(x/2)^3
= x^3/64/x^3/8
= 64/8= 8
Therfore, size of earth is approximately 8 times size of moon
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