The height of the cone is 8m, the radius of the base is 6m. Find the generatrix of the cone.
| July 25, 2021 | education
Let’s construct the axial section of the cone.
The axial section of the cone is the isosceles triangle ABC.
The height OC of the cone is the height, bisector and median of triangle ABC, then triangles AOC and BOC are rectangular. From the right-angled triangle BOC, according to the Pythagorean theorem, BC ^ 2 = OC ^ 2 + OB ^ 2 = 64 + 36 = 100.
BC = 10 cm.
Answer: The length of the generatrix of the cone is 10 cm.
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