Respuesta :
First you have to plug the radius (28.9 cm) in the equation for volume, so you would have V = (4/3)*pi*(28.9)^3(which means cubed) to get 101107.2126 cm^3 for volume, next use that in the formula m = d*V = 19.3g/cm^3 * 101107.2126 to get 1,951,369.203g to convert to pounds you multiply that by 0.00220462262 or 0.002 for short to get 4,302.03 pounds
Unless he can carry 4k pounds, I don't think he getting away.
Unless he can carry 4k pounds, I don't think he getting away.
Answer: The mass of gold in pounds is 4299.8 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 = 28.9 cm
Volume of osmium = [tex]\frac{4}{3}\times 3.14\times (15)^3=101056cm^3[/tex]
Density of gold = [tex]19.3g/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]19.3g/cm^3=\frac{\text{Mass of gold}}{101056cm^3}\\\\\text{Mass of gold}=1950380.8g[/tex]
To convert the given mass into pounds, we use the conversion factors:
1 pound = 453.592 g
So, [tex]1950380.8g=1950380.8g\times \frac{1pound}{453.592g}=4299.8pounds[/tex]
Hence, the mass of gold in pounds is 4299.8 pounds.
