Bottom diameter

Milan poured 2 dl of fruit juice into a cylindrical glass with a base diameter of 6 cm. How high did the juice level in the glass reach?

Correct answer:

h =  7.1 cm

Step-by-step explanation:

$$\begin{gathered} d=6\text{cm} \\ V=2\text{dl}\to {\text{cm}}^3=2\cdot 100{\text{cm}}^3=200{\text{cm}}^3 \\ r=d/2=6/2=3\text{cm} \\ {S}_1=\pi \cdot r^2=3.1416\cdot 3^2\doteq 28.2743{\text{cm}}^2 \\ V=S_1\cdot h \\ h=V/S_1=200/28.2743=7.1\text{cm} \end{gathered}$$

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