Question

The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. Suppose gas is pouredinto the tank at a rate of 1.5 ft per minute. How many minutes does it take to fill the empty tank?

Answer 1

Given

Height of tank = 4 ft

Diameter = 2.2 ft

Gas is poured into the tank at a rate of 1.5 ft per minute.

Find

time taken to fill the empty tank.

Explanation

volume of cylindrical tank is given by

$\pi r^2h$

r = d/2 = 2.2 /2 = 1.1 ft

so ,

$\begin{gathered} V=\pi(1.1)^2(4) \\ V=\pi(1.21)(4) \\ V=\pi\times4.84 \\ V=15.2053084434\text{ ft}^3 \end{gathered}$

gas is poured at the rate of 1.5 ft per minute.

so ,

time taken to fill the empty tank =

$\begin{gathered} \frac{15.2053084434}{1.5} \\ \\ 10.1368722956\approx10.1minutes \end{gathered}$

Final Answer

Hence , the time to fill the empty tank is 10.1 minutes