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MathNet 2024-part-04 — 168 problems (EN–VI) Question 21

Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)

Question 21

At Matthijs's table tennis club, one keeps the ping-pong balls on a table with cylindrical ball holders. Here is the side view of a ping-pong ball on top of a ball holder. The underside of the ball exactly touches the table. It is known that the ball holder is $4$ centimetres wide and $1$ centimetre high.
How many centimetres is the radius of the ball?
*Please note that the picture is not to scale.*

Question illustration

A) $2\frac{1}{3}$
B) $2\frac{1}{2}$
C) $2\frac{2}{3}$
D) $2\frac{5}{6}$
E) $3$