The radii of the base of the truncated cone are 10 cm and 4 cm, and the height is 8 cm. find the generator of the cone.
| September 9, 2021 | education
The height BH divides the radius OA into segments AH and OH.
Since BO1OH is a quadrangle, OH = BO1 = 4 cm.
Then AH = AO – OH = 10 – 4 = 6 cm.
In a right-angled triangle ABH, according to the Pythagorean theorem, we determine the length of the hypotenuse AB, which is the sought generator of the cone.
AB ^ 2 = BH ^ 2 + AH ^ 2 = 36 + 64 = 100.
AB = 10 cm.
Answer: The length of the generatrix is 10 cm.
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