# Bottles of juice

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

Result

n =  34

#### Solution:

$r = D/2 = 1.2 \ dm \ \\ v^2 = s^2 + r^2 \ \\ v = \sqrt{ 1.5^2 - 1.2^2 } = 0.9 \ dm \ \\ V_1 = \dfrac13 \pi r^2 v = 1.36 \ dm^3 \ \\ n = \dfrac{50}{2}V_1 = 34 \ \\$

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