SOLUTION: A cone of height 9cm has a volume of ncm^3 and curved surface area of ncm^2. Find the vertical angle

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Question 1136494: A cone of height 9cm has a volume of ncm^3 and curved surface area of ncm^2. Find the vertical angle
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Let r be the radius of the cone. With height 9, the slant height l is then .

The problem says that, ignoring units, the volume and lateral surface area are the same. So






I'm not sure of what your definition of "vertical angle" is in this problem. The angle between the base and the slant height of the cone is



which is 70.53 degrees, to 2 decimal places.

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