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# help with this raidius

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A hotel is in the shape of a  cylinder, with a circular foundation. The circumference of the foundation is

6 times the radius, increased by 14.84 ft. Find the radius of the circular foundation. Use 3.14 as an approximation for

piπ.

The radius of the foundation is approximately ___ ft

Nov 29, 2017

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189 (rounding down)

Nov 29, 2017
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This is a diagram for you to reference as I solve for the radius, r.

$$C=6r+14.84$$ because of what the given info states. The general formula for the relation of the radius and circumference is $$C=2\pi r$$, so $$2\pi r=6r+14.84$$. Now, solve for r, in feet.

 $$2\pi r=6r+14.84$$ The problem states to use the approximation of $$\pi=3.14$$, so substitute that into the equation. $$2*3.14r=6r+14.84$$ $$6.28r=6r+14.84$$ Subtract 6r from both sides. $$0.28r=14.84$$ Divide by 0.28 from both sides to finally isolate r, the variable I assigned to be the length, in feet, of the radius. $$r=53ft$$
TheXSquaredFactor  Nov 29, 2017