Find the volume of the cone, the generatrix of which is 6 cm and forms an angle of 30 degrees with its height.
| January 27, 2021 | education
The volume of the cone is calculated by the formula:
Vcon. = 1/3 * Sb. * H, where H is the height of the cone, Sbase is the base area which is equal to πr2.
From the condition, H = L * sin30 ° = 6 * 1/2 = 3.r = L * cos30 ° = 6 * √3 / 2 = 3√3.
Vcon. = 1/3 * πr ^ 2 * H = 1/3 * π * (3√3) ^ 2 * 3 = 27π (cm3).
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.
