How to find the height of a cylinder if the area of the base and the area of the axial section of the cylinder are known?
| September 1, 2021 | education
The axial section of a cylinder is a rectangle with a base equal to the diameter of the circle at its base, and the height is equal to the desired height of the cylinder.
Ssech = D * h = 2 * R * h, then:
h = Ssection / (2 * R). (1).
The base area of a cylinder is the area of a circle.
Sop = π * R ^ 2.
R2 = Sbas / π.
R = √ (Sb / π).
Substitute in equation 1.
h = Ssection / (2 * √ (Ssn / π)).
Answer: The height of the cylinder is equal to Ssection / (2 * √ (Sb / π)).
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