Question 337077
The circumference (C) of the earth (a sphere for our purposes) is 40,700 km.
We need to find the radius and we know that: {{{C = 2*pi*r}}}, so...
{{{40700 = 2*pi*r}}} Solve for r.
{{{r = 40700/(2*pi)}}}
{{{r = 63899}}}km (using {{{pi = 3.14}}})
Now we can find the volume and the surface area of our "spherical" earth.
The volume of a sphere is given by:
{{{V = (4/3)*pi*r^3}}} Substitute {{{r = 63899}}} and {{{pi = 3.14}}}
{{{V = (4/3)*pi*(63899)^3}}} Use your calculator to get...
{{{V = 1.09X10^15}}}cubic km.
The surface area of a sphere is given by:
{{{S = 4*pi*r^2}}} Substitute {{{r = 63899}}} and {{{pi = 3.14}}}
{{{S = 4*3.14*(63899)^2}}} Use your calculator to get...
{{{S = 5.128X10^10}}}square km.