Diameter

What is the inside diameter of the cylinder container and if half a liter of water reaches a height 15 cm?

Correct answer:

D =  6.5147 cm

Step-by-step explanation:

$$\begin{gathered} V=0.5\cdot 10^3=500{\text{cm}}^3 \\ h=15\text{ cm } \\ S=V\mathrm{/}h=500\mathrm{/}15={\displaystyle \frac{100}{3}}\doteq 33.3333{\text{cm}}^2 \\ S=\pi r^2 \\ r=\sqrt{S\mathrm{/}\pi }=\sqrt{33.3333\mathrm{/}3.1416}\doteq 3.2574\text{ cm } \\ D=2\cdot r=2\cdot 3.2574=6.5147\text{ cm} \end{gathered}$$

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