The axial section of the cylinder is a rectangle with an area of 48 square meters. Calculate the total surface
| July 1, 2021 | education
The axial section of the cylinder is a rectangle with an area of 48 square meters. Calculate the total surface area if its height is 6 m.
Since the axial section ABCD is a rectangle, then Ssec = AB * AD.
AD = Ssection / AB = 48/6 = 8 m.
AD is the diameter of the circle at the base of the cylinder, then R = AD / 2 = 8/2 = 4 m.
Determine the area of the base of the cylinder. Sop = π * R ^ 2 = 16 * π m2.
The area of the lateral surface of the cylinder is: Sside = 2 * π * R * AB = 2 * π * 4 * 6 = 48 * π m2.
Then Sпов = 2 * Sсн + Sbok = 2 * 16 * π + 48 * π = 80 * π m2.
Answer: The total surface area of the cylinder is 80 * π m2.
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.
