There are three pipes with radius of 0.5m on a construction site. As shown in the figure, how high is the top of the pipe from the ground? What about six in three? How about 10 in four layers?

There are three pipes with radius of 0.5m on a construction site. As shown in the figure, how high is the top of the pipe from the ground? What about six in three? How about 10 in four layers?

When three pendulums have two layers, we can get the following results: if the center of three circles is connected to form an equilateral triangle, then the side length of the triangle is 1, so the height is 32; so the distance between the top of the pipe and the ground is 32 + 2R = 32 + 1; similarly, if the pendulum has three layers, it is 3 + 1; if the pendulum has four layers, it is 323 + 1