The axial cross-sectional area of the cylinder is 24 cm squared, the height is 4 cm, find the volume.
| August 22, 2021 | education
The axial section of the cylinder is rectangle ABCD.
Knowing one side of the rectangle and its area, we determine the length of the second side.
Ssech = AB * AD
24 = 4 * AD.
AD = 24/4 = 6 cm.
Then the radius of the circle is equal to: AO = AD / 2 = 6/2 = 3 cm.
Determine the area of the base of the cylinder.
Sb = π * R ^ 2 = π * 9 cm2.
Determine the volume of the cylinder.
V = Ssn * h = Ssn * AB = π * 9 * 4 = π * 36 cm3.
Answer: The volume of the cylinder is π * 36 cm3.
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