Cheryl builds cylindrical pools according to measurements given by her customers. Cheryl uses the volume formula for a cylinder to determine how big
to build the pool. a) If Cheryl is given the volume and height requirements, how
would she rewrite the formula to determine the radius of the pool? b) If the
volume of the pool is 1,809 cubic feet and the height is 4 feet, what is the radius
of the pool? *

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step-by-step explanation:

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rick would give her the best deal as he will charge $8.88 per hour

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4