The axial cross-sectional area of the cylinder is 21 cm2, and the base area is 18π cm2. Find the volume of the cylinder.
| September 28, 2021 | education
Knowing the area of the base of the circle at the base of the cylinder, we determine its radius.
Sb = π * R ^ 2 = 18 * π cm2.
R ^ 2 = 18.
R = √18 = 3 * √2 cm.
Determine the diameter of the circle.
AD = 2 * R = 6 * √2 cm.
The axial section of the cylinder is a rectangle ABCD, then Ssection = AB * AD = 21 cm2.
AB = 21/6 * √2 = 3.5 / √2 cm.
Determine the volume of the cylinder.
V = Sbas * AB = 18 * π * 3.5 / √2 = 63 / √2 = 63 * √2 / 2 cm3.
Answer: The volume of the cylinder is 63 * √2 / 2 cm3.
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