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It must be at least 120.872293 inch long.

How to calculate?

First, let's covert given measures to metric system:

16 inch = 0.406 meter it's 0.203 meter of radius

105 gallons = 397.468237 liters = 0.397468237 cubic meter(m3) - volume

Then. We need to find height of cylynder with given volume and radius.

Formula of volume of any cylinder:

V=pi * R2 * h

And by a simple transition we get: h = V / (pi * R2) - formula of height of cylinder with given volume and radius.

Where pi is a constant of 3.14159265,

R2 is squared radius of cylinder

V is volume and h is height of cylinder.

Now, all we need is to substitute actual values into the last formula:

h = 0.397468237 / (3.14159265 *0.2032) = 0.397468237 / (3.14159265 *0.041209) = 0.397468237 / 0.129461892 = 3.07015625 m

Convert this to feet: 3.07015625 m = 120.872293 inch

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