Cylindrical bucket

The cylindrical bucket was filled 2/3 with water. You know that the diameter of the bottom is 25 cm, and the water reaches a height of 24 cm. What is the maximum amount of water that can be poured into the bucket?

Correct answer:

V₂ =  17.6715 l

Step-by-step explanation:

$$\begin{gathered} V_1=\frac{2}{3}\cdot V_2 \\ d=25\text{cm}\to \text{dm}=25:10\text{dm}=2.5\text{dm} \\ h=24\text{cm}\to \text{dm}=24:10\text{dm}=2.4\text{dm} \\ r=d/2=2.5/2=\frac{5}{4}=1.25\text{dm} \\ 1l=1d{m}^3 \\ {V}_1=\pi \cdot r^2\cdot h=3.1416\cdot 1.25^2\cdot 2.4\doteq 11.781\text{l} \\ {V}_2=\frac{3}{2}\cdot V_1=\frac{3}{2}\cdot 11.781=17.6715\text{l} \end{gathered}$$

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