Volume of 3-D shapes problem 127

Since we make the largest regular hexagonal prism from the cylinder, it means that the base surface of the prism will be exactly a regular hexagon, which is inscribed in the base surface of the cylinder. Therefore, it is considered that the radius of the cylinder r is exactly equal to the side of the obtained hexagonal regular prism:

Therefore, r = a = 2.45 ~cm#2#