The mass of the sphere is 800 lbs. Find the density of the sphere to the nearest tenth.

answer choices

7.8 lbs/ft3

21.2 lbs/ft3

28.3 lbs/ft3

7.1 lbs/ft3

7.1 lbs / ft^3

Step-by-step 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

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4