Concept explainers
To find: The lateral area of the larger cone.
Answer to Problem 18WE
The lateral area of the larger cone is
Explanation of Solution
Given information:
The volume of similar cones are
Calculation:
Calculate the scale factor is the cube root of ratio of volume.
The lateral area of cone in terms of radius and slant height is
Since lateral area of cone is proportional to the radius and slant height. Thus, the lateral area is proportional to the square of scale factor.
Therefore,the lateral area of the larger coneis
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