# Calculating approx. Values in km3, m3, cubic miles, and gallons

kelpmonster1

## Homework Statement

Earth’s radius is 6370 km and approximately 70% of
its surface is covered with water, to an average depth
of 12,000 feet. Calculate the approximate volume, in
km
3
, m
3
, cubic miles and gallons of Earth’s oceans.

## The Attempt at a Solution

I was told to find the area and to multiply by the avrg depth but i am still confused.

Bhumble
Welcome to PF.
You can calculate the total volume of the Earth and then subtract the non water portions.
1. Calculate total volume in desired unit.
2. Calculate volume of "inner" portion.
3. Subtract inner portion from total volume then multiply by 0.7 to account for 70% water coverage.

Homework Helper
Gold Member
Isn't it a lot easier than that?

Just calculate the surface area of the sphere (4 * Pi * R2).
Multiply by 70/100 to get the area covered by water.
Multiply by the average depth.

Obviously convert everything to appropriate units first. For example if you convert the average depth to km the answer will be in km3.

Then convert to the other units required.

Bhumble
Yes your method is easier. I just couldn't get away from integration in my head so I pieced it out for the OP in not quite as eloquent manner as you did...