Question

earth
the earth has a mass of 5.98x10²⁴ kg and an average radius of 6.37x10⁶ m.
1 multiple answer 2 points
what is the volume of the earth in m³?
754x10¹⁸
800x10¹⁹
1.300x10²⁰
1.082x10²¹

Explanation:

Step1: Recall the formula for the volume of a sphere

The volume formula for a sphere is \( V=\frac{4}{3}\pi r^{3} \), where \( r \) is the radius of the sphere.

Step2: Substitute the given radius value

Given \( r = 6.37\times10^{6}\text{ m} \), then \( r^{3}=(6.37\times 10^{6})^{3}=6.37^{3}\times10^{18} \).
Calculate \( 6.37^{3}=6.37\times6.37\times6.37 = 258.59 \).
So \( r^{3}=258.59\times10^{18}\text{ m}^{3} \).

Step3: Calculate the volume

\( V=\frac{4}{3}\times\pi\times258.59\times 10^{18}\text{ m}^{3} \).
\( \frac{4}{3}\times3.14\times258.59\times10^{18}\text{ m}^{3}\)
\( \frac{12.56}{3}\times258.59\times10^{18}\text{ m}^{3}\)
\(4.19\times258.59\times10^{18}\text{ m}^{3}\)
\(V = 1.082\times10^{21}\text{ m}^{3}\)

Answer:

1.082×10²¹