Bottles of juice

How many 2-liter bottles of juice need to buy if you want to transfer the juice to 50 pitchers' rotary cone shape with a diameter of 24 cm and a base side length of 1.5 dm?

Correct answer:

n =  34

Step-by-step explanation:

$$\begin{gathered} r=D/2=1.2dm \\ {v}^2=s^2+r^2 \\ v=\sqrt{1.5^2-1.2^2}=0.9dm \\ {V}_1=\frac{1}{3}\pi r^{2}v=1.36d{m}^3 \\ n=\frac{50}{2}{V}_1=34 \end{gathered}$$

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