Cylinder-shaped 7892

The cylinder-shaped pot has a bottom diameter of 28 cm and a height of 36 cm and is two-thirds full of tea. Will this tea be enough for 50 children if we served it in full 3 dl glasses?

Correct answer:

x =  0

Step-by-step explanation:

$$\begin{gathered} D=28\text{cm} \\ h=36\text{cm} \\ r=D/2=28/2=14\text{cm} \\ V=\frac{2}{3}\cdot \pi \cdot r^2\cdot h=\frac{2}{3}\cdot 3.1416\cdot 14^2\cdot 36\doteq 14778.0518{\text{cm}}^3 \\ {V}_1=3\text{dl}\to {\text{cm}}^3=3\cdot 100{\text{cm}}^3=300{\text{cm}}^3 \\ {V}_2=50\cdot V_1=50\cdot 300=15000{\text{cm}}^3 \\ V<V_2 \\ x=0 \end{gathered}$$

Try another example