Question

Please help me!!!

what is the density of a sphere that on earth weighs 4000 g and has a diameter of 150?​

Answer 1

The answer is 0.002 g/cm³

Step-by-step explanation:

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

`density = (mass)/(volume) \\`

From the question

mass of sphere = 4000 g

Volume of a sphere is given by

`V = (4)/(3) \pi {r}^(3) \\`

where r is the radius

`r = (diameter)/(2) \\`

From the question

diameter = 150 cm

`r = (150)/(2) = 75 \: \: \: cm`

The volume of the sphere is

`V = (4)/(3) * {75}^(3) \pi \\ = (4)/(3) * 421875\pi \\ = 562500\pi \\ = 1767145.86...`

We have the answer as

volume = 1767145.86 cm³

So we have

`density = (4000)/(1767145.86) \\ = 0.002263536...`

We have the final answer as

0.002 g/cm³

Hope this helps you