The perimeter of the axial section of the cone is 18 cm, the radius of the base
| September 16, 2021 | education
The perimeter of the axial section of the cone is 18 cm, the radius of the base of the cone is 4 cm. What is the generatrix of the cone?
To solve the problem, consider the figure.
The axial section of the cone is an isosceles triangle ABC, in which the sides AB = AC and are generators of the cone, and BC is the diameter of the circle at the base of the cone.
BC = 2 * OB = 2 * 4 = 8 cm.
Then Ravs = 18 = AB + AC + 8.
18 – 8 = 2 * AB.
AB = BC = 10/2 = 5 cm.
Answer: The generatrix of the cone is 5 cm.
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