Snowman

In a circle with a diameter of 40 cm are drawn three circles (as a snowman) where:

its diameters are integers,
each larger circle diameter is 2 cm larger than the diameter of the previous circle.

Determine the snowman height if we wish for the highest snowman.

Final Answer:

X =  39 cm

Step-by-step explanation:

$$\begin{gathered} a+(a+2)+(a+2+2)=40 \\ 3a+6=40 \\ a=floor((40-6)/3)=11 \\ X=a+(a+2)+(a+2+2) \\ X=3\cdot a+6=3\cdot 11+6=39\text{cm} \end{gathered}$$

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