The diameter of two cones are equal if their slant height are in the ratio 5:4, find the ratio of their curved surface area

2 answers

surface area of similar objects varies directly with the square of their corresponding sides

ratio of surface areas
= 5^2 : 4^2
= 25 : 16
Hmmm. I interpret the problem to be that the cones have the same diameter. Hence, the same base radius.

Since the curved surface area is πrs, if r is constant, then the area is proportional to s, so it is also in the ratio 5:4.
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