When melted down into a liquid state, tungsten has a density of 22.59 g/ ml. how many
gallons of liquid tungsten would then be required to make up one ton of the element? (1
kg= 2.205 lb, 1 ton=2000 lb, 1 gal= 2.785 l).

one ton of liquid tungsten will have a volume of 17.895 gal

Explanation:

1 g = 10⁻³ kg = 10⁻⁶ tones

so if            1 g are equal to 10⁻⁶ tones

then   22.59 g are equal to X tones

X = (22.59 × 10⁻⁶) / 1 = 22.59 × 10⁻⁶ tones

1 mL =  10⁻³ L

so the density of liquid tungsten will be 22.59 × 10⁻⁶ tones / 10⁻³ L

so if we have 22.59 × 10⁻⁶ tones in 10⁻³ L

then in                             1   ton in      Y     L

Y = (1 ×  10⁻³) / (22.59 × 10⁻⁶) = 44.267 L

And we know from the problem that 1 gal = 2.785 L

if          1 gal is equal to 2.785 L

then   Z gal are equal to 44.267 L

Z = (44.267 × 1) /  2.785 = 17.895 gal