The axial cross-sectional area of the cylinder is 16 cm2. what is the height of the cylinder if the base area is 4 cm2.
| September 2, 2021 | education
Knowing the area of the base of the cylinder, we determine the radius of the circle at its base.
Sop = π * R ^ 2.
R ^ 2 = Sb / π.
R ^ 2 = 4 / π.
R = 2 / √π cm.
Side AD of the axial section is the diameter of the circle, then AD = 2 * R = 4 / √π cm.
Knowing the area of the axial section, we determine its height.
Ssech = AB * AD.
AB = Ssection / AD = 16 / (4 / √π) = 4 * √π cm.
Answer: The height of the cylinder is 4 * √π cm.
If Sop = 4 * π cm, then AB = 4 cm.
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