A soccer fan, upset by the defeat of his favorite team, slept restlessly. In his dream a goalkeeper was practicing in a large unfurnished room, tossing a soccer ball against the wall and then catching it. But the goalkeeper grew smaller and smaller and then changed into a ping-pong ball while the soccer ball was swelled up into a huge cast-iron ball. The iron ball circled round madly, trying to crush the ping-pong ball, how did the ping-pong find safety whithout leaving the floor?
Answer: If the ping-pong ball rolls flush against the wall, the cast-iron ball cannot crush it. Those who know geometry can determine that if the diameter of a large ball is at least 5.83 (3+2(square root of 2) times as large as the diameter of a little ball, then the little ball will be safe if it hugs the wall. A cast-iron ball that is larger than a soccer ball is more than 4.83 times as large in diameter as a ping-pong ball.
Solution: [et_pb_section fb_built="1" _builder_version="3.22" global_colors_info="{}" custom_padding="29px||8px|||"][et_pb_row use_custom_gutter="on" _builder_version="4.14.4" _module_preset="default" width="40%" width_tablet="70%" width_phone="90%" width_last_edited="on|desktop" module_alignment="center" global_colors_info="{}"][et_pb_column type="4_4" _builder_version="4.14.4" _module_preset="default" global_colors_info="{}"][et_pb_toggle title="Show Answer" open_toggle_background_color="#0ab538" closed_toggle_background_color="#0C71C3" toggle_icon="G||divi||400" open_toggle_icon="F||divi||400" _builder_version="4.14.4" _module_preset="default" title_text_color="#FFFFFF" title_level="h2" title_font="|700|||||||" title_font_size="20px" body_font="||||||||" body_text_color="#FFFFFF" body_font_size="15px" max_width_phone="25%" max_width_last_edited="off|tablet" border_radii="on|10px|10px|10px|10px" global_colors_info="{}" title__hover_enabled="off|desktop"] If the ping-pong ball rolls flush against the wall, the cast-iron ball cannot crush it.
Those who know geometry can determine that if the diameter of a large ball is at least 5.83 (3+2(square root of 2) times as large as the diameter of a little ball, then the little ball will be safe if it hugs the wall.
A cast-iron ball that is larger than a soccer ball is more than 4.83 times as large in diameter as a ping-pong ball.
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                            Those who know geometry can determine that if the diameter of a large ball is at least 5.83 (3+2(square root of 2) times as large as the diameter of a little ball, then the little ball will be safe if it hugs the wall.
A cast-iron ball that is larger than a soccer ball is more than 4.83 times as large in diameter as a ping-pong ball.
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