The given information is:
- The gas tank has the shape of a cylinder, 4 ft long, and a diameter of 1.8 ft.
- The gas is poured at a rate of 1.7 ft^3 per minute.
The total volume of the empty tank is:
[tex]\begin{gathered} V=\pi *(\frac{d}{2})^2*h \\ V=3.14*(\frac{1.8ft}{2})^2*4ft \\ V=3.14*(0.9ft)^2*4ft \\ V=3.14*0.81ft^2*4ft \\ V=10.1736ft^3 \end{gathered}[/tex]
The rate is 1.7ft^3 per minute, then the time needed to fill the empty tank is:
[tex]\frac{10.1736ft^2}{1.7ft^3\text{ / min}}=5.98\text{ min}[/tex]
The answer is 6 minutes.
