The height of the cylinder is 8 m, and the distance from the center of one base to the point of the circumference

The height of the cylinder is 8 m, and the distance from the center of one base to the point of the circumference of the second base is 10 m. Find the area of the lateral surface of the cylinder.

The height of the cylinder is perpendicular to the plane of its base, then the ABO triangle is rectangular.

Let us define, by the Pythagorean theorem, the length of the leg OB equal to the radius of the circle at the base of the cylinder.

OB ^ 2 = OA ^ 2 – AB ^ 2 = 10 ^ 2 – 8 ^ 2 = 100 – 64 = 36.

OB = 6 cm.

Let us determine the area of the lateral surface of the prism.

Side = 2 * n * R * h = 2 * n * 6 * 8 = n * 96 cm2.

Answer: The area of the lateral surface of the cylinder is equal to n * 96 cm2.