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).

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Mathematics

Zackery

24 September, 02:18

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).

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Sabrina Reed · 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