Solve this math problem step by step

When you try to Solve this math problem step by step, there are often multiple ways to approach it. The form compensation method is to supplement a figure into a triangle, which is the most common one of our contact form compensation methods. Its form is also relatively variable. The main complementable behaviors are general triangles, isosceles triangles, right triangles and equilateral triangles. How should we complement them? We should make changes according to the existing form in the conditions.

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By connecting the vertex and the center of the triangular pyramid, we can get that the height of the triangular pyramid is perpendicular to the bottom. At this time, the center of the circumscribed ball is on the high line, so the radius of the circumscribed ball of the right triangle can be solved according to the Pythagorean theorem. The key of this model is to determine the center of the ball by using the extraterrestrial of the regular triangle on the bottom, and then construct a triangle to convert the three-dimensional figure into a planar figure, and find the radius of the ball in the right triangle. Finally, it's time to discuss triangle filling.

The teacher left the homework. At first, I still finished it seriously. Later, I was only responsible for copying the homework onto the blackboard. I didn't do it myself. I guess the students didn't do much either.