# Diameter

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

Result

D =  6.515 cm

#### Solution:

$V=0.5 \cdot \ 10^3=500 \ \text{cm}^3 \ \\ h=15 \ \text{cm} \ \\ S=V / h=500 / 15 \doteq \dfrac{ 100 }{ 3 } \doteq 33.3333 \ \text{cm}^2 \ \\ S=\pi r^2 \ \\ r=\sqrt{ S / \pi }=\sqrt{ 33.3333 / 3.1416 } \doteq 3.2574 \ \text{cm} \ \\ D=2 \cdot \ r=2 \cdot \ 3.2574 \doteq 6.5147 \doteq 6.515 \ \text{cm}$

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