Question 188042
Start with the formula for the volume of a sphere of radius, r.
{{{V = (4/3)pi*r^3}}} Set this equal to the given volume of {{{500*pi/3}}}Cu.m.
{{{(4/3)pi*r^3 = 500*pi/3}}} Multiply both sides by 3.
{{{4*pi*r^3 = 500*pi}}} Divide both sides by {{{pi}}}
{{{4*r^3 = 500}}} Divide both sides by 4.
{{{r^3 = 125}}} Take the cube root of both sides.
{{{r = 5}}}
The diameter is twice the radius, so...
{{{D = 2(5)}}}
{{{highlight(D = 10)}}}meters.