The area of the axial section is 72 cm²; its generatrix is 2 times the diameter of the base. find the volume of the cylinder.
| June 25, 2021 | education
The axial section of the cylinder is rectangle ABCD.
Let the diameter of the AD circle at the base of the cylinder be equal to X cm, then, by condition, the height of the cylinder AB = 2 * Xcm.
Then Ssec = AD * AB = X * 2 * X = 72 cm2.
2 * X ^ 2 = 72.
X ^ 2 = 36.
X = AD = 6 cm.
AB = 2 * 6 = 12 cm.
The radius of the circle is equal to: AO = AD / 2 = 6/2 = 3 cm.
Determine the area of the base of the cylinder.
Sbn = π * R ^ 2 = π * 9 cm2.
Determine the volume of the cylinder.
V = Sb * h = Sb * AB = π * 9 * 12 = π * 108 cm3.
Answer: The volume of the cylinder is π * 108 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.
