The diameter of the moon is one sixth of the
diameter of the earth. Find the ratio of their
volumes (Assuming that both moon and earth are
spherical in shape).
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Answers
Answered by
1
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
Step-by-step explanation:
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