There is a glass on the table, the inner surface which is obtained by rotating the parabola y = x 2 around its axis. Balls

[abusha]

There is a glass on the table, the inner surface which is obtained by rotating the parabola y = x 2 around its axis. Balls of radii 0.3, 0.4, 0.5 are thrown into it, 0.6 (after each throw, the ball is taken out and thrown new). How many of these balls will get stuck not reaching the bottom of the glass?

 

[lev888]

There is a glass on the table, the inner surface which is obtained by rotating the parabola y = x 2 around its axis. Balls of radii 0.3, 0.4, 0.5 are thrown into it, 0.6 (after each throw, the ball is taken out and thrown new). How many of these balls will get stuck not reaching the bottom of the glass?
View attachment 24534

Draw a circle that touches the bottom of the parabola. Post the image. What is its maximum radius?