Question

Please help me!!!

Answer 1

Answer:

The answer is 0.002 g/cm³

Explanation:

The density of a substance can be found by using the formula

$density = \frac{mass}{volume}$

From the question

mass of sphere = 4000 g

Volume of a sphere is given by

$V = \frac{4}{3} \pi {r}^{3}$

where r is the radius

$r = \frac{diameter}{2}$

From the question

diameter = 150 cm

$r = \frac{150}{2} = 75 \: \: \: cm$

The volume of the sphere is

$V = \frac{4}{3} \times {75}^{3} \pi \\ = \frac{4}{3} \times 421875\pi \\ = 562500\pi \\ = 1767145.86...$

We have the answer as

volume = 1767145.86 cm³

So we have

$density = \frac{4000}{1767145.86} \\ = 0.002263536...$

We have the final answer as

0.002 g/cm³

Hope this helps you