Question

why isnt this working?
A water truck's tank has internal dimensions of 11 meters in length and 2 meters in diameter. If the truck's load of pure water is 70 percent of full capacity, how heavy is the load in pounds? Water's density is 62.4 lb/ft^3.

In kilograms, what is the weight of the load if the truck carries liquid nitrogen instead of water? The liquid nitrogen's density is 0.808 g/ml.

I found the first part...but isnt the second part (pi)(1^2)(11)(.7)(35.3)(808)

Answer 1

where did the 35.3 come from in (pi)(1^2)(11)(.7)(35.3)(808)?

Answer 2

1m^3 = 35.3ft^3

Answer 3

but why are you converting it to those units?

Answer 4

to get to kilograms

Answer 5

its given you the density as 0.808 g/ml - whereas the first part was in ib/ft^3

Answer 6

so all you need to do is find out how many ml there are in each cubic meter, and convert grams to kilograms

Answer 7

1 ml = \(1 cm^3\)

Answer 8

is the volume formula useless too

Answer 9

no - that is correct

Answer 10

The liquid nitrogen's density is 0.808 g/ml = 0.808 g/cm^3
Now just convert the grams into kilograms by dividing by 1000

Answer 11

so my final set up should be (pi)(1^2)(11)(.7)(35.3)(808)/1000?

Answer 12

no - remove the 35.3

Answer 13

Volume of full tank = \(\pi*1^2*11\)
So 70% capacity will have a volume of \(\pi*1^2*11*.7\) - so you have the volume correct

Answer 14

the question is a little tricky because they gave you the density of water in ib/ft^3 whereas the density of nitrogen is given in g/ml.

Answer 15

so you have to be careful with the units.