The axial section of the cone is a regular triangle with a side of 4 / √pi. Find the area of the lateral surface of the cone.
April 29, 2021 | education
| The diameter of the base of the cone is d = 4 / √п.
The generatrix of the cone l = 4 / √п.
The lateral surface of the cone Sb = (пdl) / 2, where l is the generatrix of the cone.
Sb = (n * (4 / √п) * (4 / √п)) / 2 = 8.
Answer: 8.
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