# Snowman 2

On the medal, which has the shape of a circle with a diameter 18 cm is sketched snowman so that the following requirements are met:

1. snowman is composed of three circles,
2. space over snowman is the same as under it,
3. diameters of all circles expressed in cm are integers,
4. diamers each circle is 3 cm larger than the diameter of the circle preceding.

Determine the height of the largest snowman with those requirements.

Result

X =  18 cm

#### Solution:

$a+(a+2)+(a+2+2)=18 \ \\ 3a + 6 = 18 \ \\ a \doteq 4 \ \\ \ \\ \ \\ X = a+(a+2)+(a+2+2) = 3a+6 = 3 \cdot 4 + 6 = 18 \ \text { cm }$

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