The radius of the base of the cone is 3 m, and the height is 4 m. Find the generatrix and the area of the axial section.
| February 17, 2021 | education
The radius ОА, the height ОВ and the generator AB form a right-angled triangle AOB in which, according to the Pythagorean theorem, we determine the length of the generator AB.
AB ^ 2 = OA ^ 2 + OB ^ 2 = 9 + 16 = 25.
AB = 5 m.
The axial section of the cone is an isosceles triangle ABC with a base AC.
AC = 2 * OA = 2 * 3 = 6 m.
Then Ssech = АС * ОВ / 2 = 6 * 4/2 = 12 m2.
Answer: The area of the axial section of the cone is 12 m2, the generatrix is 5 m.
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.
