Answer:
The answer is 0.002 g/cm³
Explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\[/tex]
From the question
mass of sphere = 4000 g
Volume of a sphere is given by
[tex]V = \frac{4}{3} \pi {r}^{3} \\ [/tex]
where r is the radius
[tex]r = \frac{diameter}{2} \\ [/tex]
From the question
diameter = 150 cm
[tex]r = \frac{150}{2} = 75 \: \: \: cm[/tex]
The volume of the sphere is
[tex]V = \frac{4}{3} \times {75}^{3} \pi \\ = \frac{4}{3} \times 421875\pi \\ = 562500\pi \\ = 1767145.86...[/tex]
We have the answer as
volume = 1767145.86 cm³
So we have
[tex]density = \frac{4000}{1767145.86} \\ = 0.002263536...[/tex]
We have the final answer as
0.002 g/cm³
Hope this helps you
