Answer:
7.1 lbs / ft^3
Explanation:
In this question, we are asked to calculate the density of the sphere in the diagram.
Firstly, to calculate the density , we apply a mathematical formula.
Mathematically, density = mass/volume
We have the mass already from the question but we will need to calculate what the volume is.
Mathematically, the volume of a sphere = 4/3 * pi * r^3
From the diagram, we can see that the radius of the sphere is 3 ft. Plugging this into the equation of the volume of a sphere, we have;
4/3 * 22/7 * 3^3
= 4/3 * 22/7 * 27
= 113.143 ft^3
Now, we substitute the volume into the density equation;
Recall, density = mass/volume
From the question, our mass is 800 lbs and from calculations, volume is 113.143 ft^3
Density = 800 lbs/ 113.143 ft^3 = 7.07 lbs/ ft^3 which is approximately 7.1 lbs/ ft^3