Find the diagonal of the axial section of the cylinder if the base radius is 3 cm and the height of the cylinder is 8 cm.

The section of the cylinder through the axis is a rectangle. One of its sides is equal to the diameter of the base, the other is the height of the cylinder. By condition, it is known that the radius of the base is 3 cm, then the diameter is 6 cm.The diagonal of the axial section can be found by the Pythagorean theorem:

D ^ 2 = 6 ^ 2 + 8 ^ 2 = 36 + 64 = 100;

D = √100 = 10 cm.