Use the following equation for the volume of a sphere:
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
V represents the total volume, and r represents the radius of the sphere.
Plug in your value for the radius.
[tex]10^{3} = 1000[/tex]
The equation should now look like this:
[tex]V = \frac{4}{3} \pi (1000)[/tex]
Multiply 1000 by 4/3.
[tex]1000 * \frac{4}{3} = 1333.33[/tex]
In terms of pi, the volume is 1333.33π cubic feet.
Assuming pi = 3.14, convert the symbol into the decimal, and multiply by 1333.33.
[tex]3.14 * 1333.33 = 4186.65[/tex]
Rounded to the nearest whole number, the volume of the sphere is 4187 cubic feet.
