If the ratio of the radii of two sphere is 3 : 7.
Find : the ratio of their surface areas.
Solution:
The curved surface area of a sphere equals the sphere's entire area because the sphere is completely curved.
Surface area of a sphere = 4π r2
Ratio of surface areas of two spheres =
4π r12/4π r22
= r12/r22
= 32/72
= 9/49
Hence the ratio of the surface areas is 9:49.
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