SOLUTION: 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).

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 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).       Log On


   

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).
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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%2F3(pi%2Ar%5E3 = 46.8
multiply both sides by 3
(4%2Api%2Ar%5E3 = 140.4
divide both sides by 4pi
r%5E3 = 140.4%2F%284%2Api%29
r%5E3 = 11.17
r == 11.17%5E%281%2F3%29
r = 2.24 ft is the radius of the sphere