Converting Earth's Radius to Surface Area and Volume | Conversion Help

[Darkhrse99]

Homework Statement

The Earth's radius is 6.37x10^6 meters. I need to convert this to surface area in km^2 and it's volume in cubic kilometers.


I'm not sure where to start on either one.



Thanks
Jason

 

[rock.freak667]

Do you know the formula for the surface area/volume of a sphere?

 

[Darkhrse99]

Surface area is 4pi R^2 and surface volume is 4pi R^3

 

[rock.freak667]

Surface area is 4pi R^2 and surface volume is 4pi R^3

Note that the volume is $\frac{4}{3} \pi r^3$

So just put the radius into the formulas and for the surface area, the answer will be in m². To convert, think of it like this:


1km²=1km*1km=1000m*1000m=10⁶m²

Hence 1km²=10⁶m²

Similary do the same for 1km³ and you'll get it out.

 

[Darkhrse99]

Thanks.