Butter

At the Orville redenbocher popcorn factory there is a tank of artificial butter substitute which is 55 feet tall and 18 feet in diameter. How many gallons of artificial butter substitute can the tank contain?

Correct result:

V =  1871 gal

Solution:

$$\begin{gathered} h=55\text{ ft } \\ D=18\text{ ft } \\ r=D\mathrm{/}2=18\mathrm{/}2=9\text{ ft } \\ S=\pi \cdot r^2=3.1416\cdot 9^2\doteq 254.469{\text{ft}}^2 \\ {V}_1=S\cdot h=254.469\cdot 55\doteq 13995.7953{\text{ft}}^3 \\ V=V_1\to \text{ gal}=V_1\mathrm{/}7.48051948\text{ gal}=13995.7953\mathrm{/}7.48051948\text{ gal}=1871\text{ gal} \end{gathered}$$

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