earth
the earth has a mass of 5.98x1024 kg and an average radius of 6.37x106 m.
2 multiple answer 2 points
what is the average density of the earth in kg/m3?
1267
5526
11550
3220

Question

Accepted Answer

# Explanation:
## Step1: Calculate the volume of the Earth
The volume $ V $ of a sphere is given by the formula $ V=\frac{4}{3}\pi r^{3} $.
Substitute $ r = 6.37\times10^{6}\text{ m} $ into the formula:
$$
\begin{align*}
V&=\frac{4}{3}\times\pi\times(6.37\times 10^{6})^{3}\
&=\frac{4}{3}\times\pi\times6.37^{3}\times10^{18}\
&\approx\frac{4}{3}\times3.14\times258.2\times10^{18}\
&=\frac{4\times3.14\times258.2}{3}\times10^{18}\
&\approx1.083\times10^{21}\text{ m}^{3}
\end{align*}
$$

## Step2: Calculate the density
The density $
ho$ is given by the formula $
ho=\frac{m}{V} $, where $ m = 5.98\times10^{24}\text{ kg} $ and $ V\approx1.083\times 10^{21}\text{ m}^{3} $
$$
\begin{align*}

ho&=\frac{5.98\times10^{24}}{1.083\times10^{21}}\
&=\frac{5.98}{1.083}\times10^{3}\
&\approx5.526\times 10^{3}\
& = 5526\text{ kg/m}^{3}
\end{align*}
$$

# Answer:
B. 5526

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QUESTION IMAGE

Question

Explanation:

Step1: Calculate the volume of the Earth

Step2: Calculate the density

Answer: