Question

A spherical tank has a capacity of 400 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 1

1. Find the volume of gas the tank can hold: 400 gallons * (0.1337 ft3/1 gallon) = 53.48 ft3 2. The volume of the sphere is calculated using the equation. V = â´â„â‚Ď€rÂł. Where V = volume, Ď€ = pi or 3.14159, and r= the radius. We know that V = 53.48 ft3 so 53.48 ft3 = 4/3* (3.14159)*rÂł. rÂł= 12.767 Then take the cube root of 12.767, so r = 2.337 ft Round to the nearest hundreth, r = 2.34 ft