The angle between the generatrix and the plane of the base of the cone is 60 degrees
| August 2, 2021 | education
The angle between the generatrix and the plane of the base of the cone is 60 degrees, the radius of its base is 30 degrees. calculate the volume of the cone.
Determine the area of the base of the cone.
Sb = π * R ^ 2 = π * 900 cm2.
Triangle AOB is rectangular, then tg60 = BO / AO.
ВO = AO * tg60 = 30 * √3 cm.
Determine the volume of the cone.
V = Sop * VO / 3 = π * 900 * 30 * √3 / 3 = π * 9000 * √3 cm3.
Answer: The volume of the cone is π * 9000 * √3 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.
