The radii of two hemispheres are in the ratio 1:2. What is the ratio of their volumes?
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Answer:
Consider x and 2x as the radius of two spheres and S
1
and S
2
as the surface areas
It can be written as
S
2
S
1
=
4π(2x)
2
4πx
2
On further calculation
S
2
S
1
=
4x
2
x
2
So we get
S
2
S
1
=
4
1
Therefore, the ratio of their surface areas is 1:4
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