The radius of the cylinder base is 6 cm. The axial section area is 108 cm2. Find the diagonal of the axial section.
| November 22, 2020 | education
The axial section area is a rectangle with sides h-cylinder height and 2R.
Find the height of the cylinder:
S = h * 2R
h = S / 2R = 108/12 = 9
Find the diagonal through a right-angled triangle using the Pythagorean theorem:
x ^ 2 = 4R ^ 2 + h ^ 2 = 24 + 9 = 33
x = root of 33
Answer: root of 33
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