The height of the cone is 3 cm, and the generatrix is 5 cm. Find the radius of the cone and the circumference of the base?
| February 6, 2021 | education
The generatrix of the cone, its height and the radius of the circle at its base, form a right-angled triangle BOS, then, according to the Pythagorean theorem, OB ^ 2 = R ^ 2 = BC ^ 2 – OC ^ 2 = 5 ^ 2 – 3 ^ 2 = 25 – 9 = 16.
ОВ = R = 4 cm.
Determine the circumference at the base of the cone.
L = 2 * n * R = 2 * n * 4 = 8 * n cm.
Answer: The radius of the circle is 4 cm, the circumference is 8 * n cm.
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