Answer
The person will win the case if he or she sues the contractor in the court.
Work Step by Step
Since one foot is equal to\[12\text{ inches}\], the height of cylindrical tank in feet will be as follows:
\[\begin{align}
& h=2\text{ ft}+\left( 4\text{ in}\text{.}\times \frac{1\text{ ft}}{12\text{ in}\text{.}} \right) \\
& =2\text{ ft}+\frac{1}{3}\text{ ft} \\
& =\frac{7}{3}\text{ ft}
\end{align}\]
In this way,
\[r=3\text{ feet}\], and \[h=\frac{7}{3}\text{ ft}\]
Now, in order to determine whether the person will win the case or not, he or she is required to compute the volume of the cylindrical tank.
Compute the volume of the cylindrical tank using the equation as shown below:
\[\begin{align}
& \text{Volume of the cylindrical tank}=\pi {{r}^{2}}h \\
& \text{=}\pi {{\left( 3\text{ ft} \right)}^{2}}\times \left( \frac{7}{3}\text{ ft} \right) \\
& =\left( 21\pi \right)\text{ f}{{\text{t}}^{3}} \\
& =66\text{ f}{{\text{t}}^{3}}
\end{align}\]
Thus, the volume of the cylindrical tank is\[66\text{ f}{{\text{t}}^{3}}\]. Since the volume of the tank is less than the promised capacity of the tank at the time of installation. Accordingly, the person is more likely to win the case considering the evidence.
