The height of the cone is 12 and the length of the generatrix is 15. Find the diameter of the base of the cone.
September 15, 2021 | education
| The radius of the base of the cone, its height and the generatrix are related by the ratio: R ^ 2 + H ^ 2 = L ^ 2, where R is the radius of the base of the cone, H is the height of the cone, and L is the length of the generatrix. In our case, we get the equation: R ^ 2 + 12 ^ 2 = 15 ^ 2
R ^ 2 = 15 ^ 2 – 12 ^ 2
R ^ 2 = 225 – 144
R ^ 2 = 81
R = 9
Therefore, the diameter of the base of the cone can be found by the formula: D = 2R
D = 2 * 9 = 18
Answer: D = 18
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.