Question 947045
What is the diameter of a spherical object with a area volume of 10,000 cu ft
The volume of a sphere, r = the radius
V = {{{4/3}}}*{{{pi*r^3}}}
:
{{{4/3}}}*{{{pi*r^3 = 10000}}}
{{{pi*r^3 = 10000 * (3/4)}}}
{{{pi*r^3 = 7500}}}
{{{r^3 = 7500/pi}}}
the cube root of both sides using a calc
r = {{{3sqrt(7500/pi)}}}
r = 13.365 ft is the radius
then twice that
26.73 ft is the diameter