Question 791188
A spherical tank has a capacity of 350 gallons.
 Using the fact that 1 gallon is about 0.1337 ft3,
 find the radius of the tank (to the nearest hundredth of a foot).
:
Find the no. of cubic ft in 350 gal
350 * .1337 = 46.8 cu/ft
:
{{{4/3}}}({{{pi*r^3}}} = 46.8
multiply both sides by 3
({{{4*pi*r^3}}} = 140.4
divide both sides by 4pi
{{{r^3}}} = {{{140.4/(4*pi)}}}
{{{r^3}}} = 11.17
r == {{{11.17^(1/3)}}}
r = 2.24 ft is the radius of the sphere