To show: The ratio of the lateral areas of cone is
Explanation of Solution
Given information:
Two spheres have radii
Proof:
Lateral areas of cone in terms of radius and slant height is
Let’s the lateral area of cones is
Both the cones are similar so ratio of slant heights and radius would be similar.
Ratio of the lateral area of two cones.
From the above, it is clear that the ratio of the lateral area of conesis
Hence, proved.
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