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

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To convert Earth's radius of 6.37x10^6 meters to surface area and volume, use the formulas for a sphere: surface area is 4πR² and volume is (4/3)πR³. After calculating the surface area in square meters, convert it to square kilometers by dividing by 1,000,000, since 1 km² equals 10^6 m². For volume, convert the result from cubic meters to cubic kilometers by dividing by 1,000,000,000, as 1 km³ equals 10^9 m³. Following these steps will yield the surface area in km² and volume in km³.
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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
 
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Do you know the formula for the surface area/volume of a sphere?
 
Surface area is 4pi R^2 and surface volume is 4pi R^3
 
Darkhrse99 said:
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.
 
Thanks.
 

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