# 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?

Result

V =  1871 gal

#### Solution:

$h=55 \ \text{ft} \ \\ D=18 \ \text{ft} \ \\ \ \\ r=D/2=18/2=9 \ \text{ft} \ \\ S=\pi \cdot \ r^2=3.1416 \cdot \ 9^2 \doteq 254.469 \ \text{ft}^2 \ \\ \ \\ V_{1}=S \cdot \ h=254.469 \cdot \ 55 \doteq 13995.7953 \ \text{ft}^3 \ \\ V=V_{1} \rightarrow gal=V_{1} / 7.48051948 \ gal=13995.7952718 / 7.48051948 \ gal=1870.96569 \ gal=1871 \ \text{gal}$

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