Snowman 2

On the medal, which has the shape of a circle with a diameter 39 cm, is sketched a snowman so that the following requirements are met:

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

Determine the height of the largest snowman with those requirements.

Final Answer:

x =  39 cm

Step-by-step explanation:

$$\begin{gathered} a+(a+2)+(a+2+2)=39 \\ 3a+6=39 \\ a=\frac{39-6}{3}=11\text{cm} \\ x=a+(a+2)+(a+2+2) \\ x=3\cdot a+6=3\cdot 11+6=39\text{cm} \end{gathered}$$

Try another example