The diameter of moon is approximately one fourth of the diameter of the earth find The ratios of their volumes?
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The diameter of moon is approximately one fourth of the diameter of the earth find The ratios of their volumes?
The diameter of moon is approximately one fourth of the diameter of the earth find The ratios of their volumes?
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Answer:
Both the moon and earth are in the shape of spheres.
Surface area of a sphere of radius 'r' =4πr
2
Let d
1
be the diameter of the moon and d
2
and be the diameter of the earth.
Let r
1
be the radius of the moon and r
2
be the radius of the earth.
Given d
1
=
4
1
d
2
=>2r
1
=
4
1
×2r
2
=>r
1
=
4
1
×r
2
Now, ratio of their surface areas is:
S
1
:S
2
=4πr
1
2
:4πr
2
2
=r
1
2
:r
2
2
=1
2
:4
2
=1:16