The axial section of the cylinder is a square, the area of which is 196 cm ^ 2. Find the area of the base
| August 22, 2021 | education
The axial section of the cylinder is a square, the area of which is 196 cm ^ 2. Find the area of the base of the cylinder and the diagonal of its axial section.
Since the axial section of the cylinder is a square, the height of the AB cylinder is equal to the diameter of the AD circle at the bases of the cylinder.
Ssection = 196 = AB * AD = AB ^ 2.
AB = AD = 14 cm.
The AC diagonal forms an isosceles right-angled triangle ABC.
Then AC ^ 2 = 2 * AB ^ 2 = 2 * 196 = 39 ^ 2.
AC = 14 * √2 cm.
Determine the area of the base of the cylinder.
Sb = π * АD ^ 2/4 = π * 49 cm2.
Answer: The area of the base is π * 49 cm2, the diagonal of the axial section is 14 * √2 cm.
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.
