Cylinder-shaped 30381

Evelina wanted to pour 2 liters of lemonade into a cylinder-shaped glass with a bottom diameter of 5 cm and a height of 8 cm. What is the volume of the glass, and can 2dl of lemonade fit in it?

Correct answer:

V₂ =  1.5708 dl

Step-by-step explanation:

$$\begin{gathered} D=5\text{cm} \\ h=8\text{cm} \\ {V}_1=2\text{dl} \\ r=D/2=5/2=\frac{5}{2}=2.5\text{cm} \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 2.5^2\cdot 8\doteq 157.0796{\text{cm}}^3 \\ {V}_2=V\to \text{dl}=V:100\text{dl}=157.0796:100\text{dl}=1.5708\text{dl} \\ {V}_2<V_1 \end{gathered}$$

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