Question 591117
A cylinder shaped water tank holds 200,000 gallons of water.
 The height of the tank is 48ft.
 To the nearest tenth of a foot, what is the radius of the tank?
:
Change 200,000 gal to cu/ft: .1337*200000 = 26740 cu/ft
:
Using the volume of a cylinder formula {{{V = pi*r^2*h}}}
{{{pi*r^2*48}}} = 26740
:
{{{r^2}}} = {{{26740/(48*pi)}}}
:
{{{r^2}}} = 177.325
r = {{{sqrt(177.325)}}}
r ~ 13.3 ~ 13 ft is the radius
:
:
Check this on a calc: (7.481 gal in one cu/ft)
{{{pi*13.3^2*48*7.481}}}; results: 199551 ~ 200,000