The soup pot

The soup pot is shaped like a cylinder with a bottom diameter of 30 cm and a height of 36 cm. How many people is the soup enough if the pot is filled to ¾ height? It is calculated with 0.25 l of soup for one person.

Correct answer:

n =  76

Step-by-step explanation:

$$\begin{gathered} D=30\text{cm}\to \text{dm}=30:10\text{dm}=3\text{dm} \\ h=36\text{cm}\to \text{dm}=36:10\text{dm}=3.6\text{dm} \\ q=\frac{3}{4}=0.75 \\ {V}_1=0.25\text{l}\to {\text{dm}}^3=0.25\cdot 1{\text{dm}}^3=0.25{\text{dm}}^3 \\ V=\pi \cdot (D/2{)}^2\cdot h\cdot q=3.1416\cdot (3/2{)}^2\cdot 3.6\cdot 0.75\doteq 19.0852{\text{dm}}^3 \\ n=\lfloor V/V_1\rfloor =\lfloor 19.0852/0.25\rfloor =76 \end{gathered}$$

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