Respuesta :
Answer: The mass of osmium in kilograms and in pounds are 318.9141 kg and 703.085 pounds.
Explanation:
To calculate the volume of sphere, we use the formula:
[tex]V=\frac{4}{3}\pi r^3[/tex]
where,
r = radius of sphere
We are given:
Radius of osmium = 15 cm
Volume of osmium = [tex]\frac{4}{3}\times 3.14\times (15)^3=14130cm^3[/tex]
Density of osmium = [tex]22.57g/cm^3[/tex]
To calculate mass of a substance, we use the equation:
[tex]Density=\frac{Mass}{Volume}[/tex]
Putting values in above equation, we get:
[tex]22.57g/cm^3=\frac{\text{Mass of osmium}}{14130cm^3}\\\\\text{Mass of osmium}=318914.g[/tex]
To convert the given mass into kilo grams and pounds, we use the conversion factors:
1 kg = 1000 grams
So, [tex]318914.1g=318914.1g\times \frac{1kg}{1000g}=318.9141kg[/tex]
And,
1 pound = 453.592 g
So, [tex]318914.1g=318914.1g\times \frac{1pound}{453.592g}=703.085pounds[/tex]
Hence, the mass of osmium in kilograms and in pounds are 318.9141 kg and 703.085 pounds.
