Find the area of the lateral surface of the cylinder if the diagonal of its axial section is 17 cm and the height is 15 cm
| August 4, 2021 | education
Consider a triangle in which the diagonal of the axial section of the cylinder is the hypotenuse, the height of the cylinder is one of the legs, and the second leg is the diameter of the base of the cylinder.
To solve the problem, we apply the Pythagorean theorem:
17 ^ 2 – 15 ^ 2 = 289 – 225 = 64.
We take the root of 64 and get the diameter of the base of the cylinder = 8.
Find the circumference of the base L:
L = 3.14 * 8 = 25.12.
Find the area of the lateral surface of the cylinder:
L * H = 25.12 * 15 = 376.8.
Answer: The lateral surface area is 376.8 sq. Cm.
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