Question

The empty gas tank of a truck needs to be completely filledThe tank is shaped like a that is 4 long with a diameter of 1.8 Suppose gas is poured nto the tank at a rate ofper minute How many minutes does it take to the empty tank? Use the value 3.14 for pi_{1} and round your answer to the nearest minuteDo not round any intermediate computations

Answer 1

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:

`\begin{gathered} V=\pi *((d)/(2))^2*h \\ V=3.14*((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}`

The rate is 1.7ft^3 per minute, then the time needed to fill the empty tank is:

`\frac{10.1736ft^2}{1.7ft^3\text{ / min}}=5.98\text{ min}`

The answer is 6 minutes.