If the perimeter of the base C=3 and the side length a=3÷6=0.5, then the distance from the vertex to the center of the regular hexagon b=a= 1/2.

It is known that the height of a hexagonal prism is root number 3, and the distance from the ground of all hexagonal prisms to the center of the sphere d= root number 3 ÷ 2 = 1 root number 3.

Radius r of the ball = root number (square of D+square of B) = root number (square of 65438+square of 0 root number 3+square of 65438 +0/2) = root number 2.

The volume of the ball V=4πR? /3=

The latter answer is difficult to type. You know it yourself. It's hard to explain without a picture. It's all handwritten.