The circumference of the base of the cone is 40П cm, and the height is 21 cm. Find the length of the generatrix of the cone
| September 11, 2021 | education
Let us define its radius through the circumference at the base of the cone.
L = 2 * π * R = 40 * π.
R = 20 cm.
The height of the OB of the cone is projected to the center of the circle, then in the right-angled triangle AOB, according to the Pythagorean theorem, AB ^ 2 = AO ^ 2 + OB ^ 2 = 400 + 441 = 841.
AB = 29 cm.
Answer: The length of the generatrix of the cone is 29 cm.
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