Question

In 1919, a cylindrical tank containing molasses burst and flooded the city of Boston, Massachusetts. The tank had a 90 ft diameter and a height of 52 ft. How many gallons of molasses were in the tank? 1 cubic foot = 7.48 gallons. I have to round to the nearest tenth.

Answer 1

Answer:

2,474,456.6 gallons

Explanation:

Given the cylindrical tank with the following dimension:

• Diameter = 90 ft

Therefore, radius = 90/2 = 45 ft

• Height = 52 ft

The volume of a cylinder is obtained using the formula below:

$\begin{gathered} \text{Volume}=\pi r^2h \\ =\pi\times45^2\times52 \\ =330809.71\text{ cubic foot} \end{gathered}$

Next, we convert to gallons:

$\begin{gathered} \frac{1\text{ cubic foot}}{7.48\text{ gallons}}=\frac{330809.71}{x\text{ gallons}} \\ x=330809.71\times7.48 \\ x=2,474,456.6\text{ gallons} \end{gathered}$

There are 2,474,456.6 gallons of molasses in the tank.