Question 156475
I would first convert the 50,000 gallons to cubic inhes.
1 gallon = 231 cubic inches. So...
50,000 gallons = 50,000(231) cubic inches
50,000 gallons = 11,550,000 cubic inches.
Now if you want to store all that water in a spherical container, it will need to have a volume of 11,550,000 cubic inches, right?
The volume of a sphere is given by:
{{{V = (4/3)*pi*r^3}}} Solve this for the radius,r.
{{{r = root(3,3V/(4*pi))}}} Substitute V = 11,550,000 and evaluate.
{{{r = root(3,3*(11550000)/(4*pi))}}} Use {{{pi = 3.14}}} as an approximation.
{{{r = root(3,(34650000)/(12.56))}}}
{{{r = root(3,2758757.96)}}}
{{{r = 140.25}}}inches, approximately, or...
{{{r = 11.69}}}feet, approximately.