A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the same size are made from the material obtained, what is the diameter of each sphere?

The cylinder volume is π × r² × h = π × 3² × 6 = 54π cubic cm. If spheres of diameter 3cm (radius 1.5cm) are made, each sphere has volume (4/3)π × 1.5³ = 4.5π. The number of spheres is 54π / 4.5π = 12, which is valid. Alternatively, if the question means the cylinder is recast into spheres of the same diameter as the cylinder's height, then diameter = 3cm.