The mass of the blimp is 1.12 kg.
Step 1. Calculate the volume of the blimp.
V = 6.28 × 10⁹ mm³ × (1 m/1000 mm)³ = 6.28 m³
Step 2. Calculate the mass of the helium.
Mass = 6.28 m³ × (0.1786 kg/1 m³) = 1.12 kg
Answer: The mass of the helium blimp is 1.126 kg.
Explanation:
Density is defined as the ratio of mass and volume.
Mathematically,
[tex]Density=\frac{Mass}{Volume}[/tex]
We are given:
Density of the helium blimp = [tex]0.1786kg/m^3[/tex]
Volume of the helium blimp = [tex]6.28\times 10^9mm^3=6.28m^3[/tex] (Conversion factor: [tex]1mm^3=10^{-9}m^3[/tex] )
Mass of the helium blimp = ? kg
Putting values in above equation, we get:
[tex]0.1786kg/m^3=\frac{Mass}{6.28m^3}\\\\Mass=1.126kg[/tex]
Hence, the mass of the helium blimp will be 1.126 kg.
