The diagonal of the axial section of the cylinder is 12 cm and makes an angle of 30
| September 11, 2021 | education
The diagonal of the axial section of the cylinder is 12 cm and makes an angle of 30 with the area of the base. Find the area of the base of the cylinder.
The axial section of the cylinder is rectangle ABCD.
In a right-angled triangle ACD, Cos30 = AD / AC.
AD = AC * Cos30 = 12 * √3 / 2 = 6 * √3 cm.
Then R = АD / 2 = 3 * √3 cm.
Determine the area of the base of the cylinder.
Sb = π * R ^ 2 = 27 * π cm2.
Answer: The area of the base of the cylinder is 27 * π cm2.
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