The vase

The vase has the shape of a cylinder with a diameter of 1.2 dm. From the upper edge to the water level is 20 cm, the water depth is 35 cm. How much ml of water would fit in a vase if it was filled to the brim?

Correct answer:

V =  6220 ml

Step-by-step explanation:

$$\begin{gathered} D=1.2\text{dm}\to \text{cm}=1.2\cdot 10\text{cm}=12\text{cm} \\ h=20+35=55\text{cm} \\ {V}_1=\pi \cdot (D/2{)}^2\cdot h=3.1416\cdot (12/2{)}^2\cdot 55\doteq 6220.3535{\text{cm}}^3 \\ V=V_1\to \text{ml}=V_1\cdot 1\text{ml}=6220.3535\cdot 1\text{ml}=6220\text{ml}=6220\text{ml} \end{gathered}$$

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