A gas station stores its gasoline in a tank underground. The tank is a cylinder lying horizontally on its side. The radius is 4 ft, the length is 11 ft, and the top of the tank is 10 feet under the ground. The density of gasoline is 42 lb/ ft^3

a) Consider a slice of gasoline that is Δy ft thick and located y ft above the center of the cylinder. Write an expression giving the work required to pump the slice out.

Question

A gas station stores its gasoline in a tank underground. The tank is a cylinder lying horizontally on its side. The radius is 4 ft, the length is 11 ft, and the top of the tank is 10 feet under the ground. The density of gasoline is 42 lb/ ft^3

a) Consider a slice of gasoline that is Δy ft thick and located y ft above the center of the cylinder. Write an expression giving the work required to pump the slice out.

koikkara · Answer

http://www.math.uri.edu/~eaton/mth142sp02hk8b.pdf is ur answer....

koikkara · Answer

shud i download and paste for u......

koikkara · Answer

click and save file...^^...??

anonymous · Answer

that's not the answer

anonymous · Answer

Consider a slice of gasoline that is Δy ft thick and located y ft above the center of the cylinder. Write an expression giving the work required to pump the slice out.

anonymous · Answer

@Koikkara  can you help me or not?

anonymous · Answer

Okay so $$
W = F\cdot d
$$

anonymous · Answer

We know that $d =y$

anonymous · Answer

$F = mg = \Delta y A g = \Delta y \pi r^2g$  We know $g$ is just acceleration due to gravity, and $r$ is the radius of the tank.

anonymous · Answer

So: $$
W = \Delta y\pi r^2 gy
$$

anonymous · Answer

$m=\Delta y A$, $A = \pi r^2$

anonymous · Answer

Whoops...  $m = \Delta y A \delta$ where $\delta$ is the density