The diameter of the moon is 1/4 that of earth. Compare their volumes and curved surface areas
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Assume both as perfect spheres. if diameter is 1/4 then m=e/4
this is the diameter but the radius will be the same ratio too.
proof----> m/2=e/4*2
m/2=e/8
if you divide this you will get the same ratio
Volume of sphere= 4/3*pi*r*r*r
so take the ratio by putting the earths radius in one and moons radius in the other.
4/3*22/7*e/4*e/4*e/4:4/3*22/7*e*e*e (most of it gets divided or cancelled)
=1:64
CSA=4*pi*r*r
4*22/7*e/4*e/4:4*22/7*e*e
=1:16
this is the diameter but the radius will be the same ratio too.
proof----> m/2=e/4*2
m/2=e/8
if you divide this you will get the same ratio
Volume of sphere= 4/3*pi*r*r*r
so take the ratio by putting the earths radius in one and moons radius in the other.
4/3*22/7*e/4*e/4*e/4:4/3*22/7*e*e*e (most of it gets divided or cancelled)
=1:64
CSA=4*pi*r*r
4*22/7*e/4*e/4:4*22/7*e*e
=1:16
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