SOLUTION: Carls' Coffee sells coffee in cylindrical cans. The volume of a can is 24.7275 cubic inches. The height of the can is 2 inches more than the radius. Use Rational Root Theorem to fi

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Carls' Coffee sells coffee in cylindrical cans. The volume of a can is 24.7275 cubic inches. The height of the can is 2 inches more than the radius. Use Rational Root Theorem to fi      Log On


   

Question 178332: Carls' Coffee sells coffee in cylindrical cans. The volume of a can is 24.7275 cubic inches. The height of the can is 2 inches more than the radius. Use Rational Root Theorem to find the height and radius of the can. Use 3.14 for the volume of pi.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Carls' Coffee sells coffee in cylindrical cans.
The volume of a can is 24.7275 cubic inches.
The height of the can is 2 inches more than the radius.
Use Rational Root Theorem to find the height and radius of the can.
Use 3.14 for the value of pi.
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Volume = (pi)r^2h
24.7275 = (3.14)*x^2(x+2)
7.871 = x^3 + 2x^2
x^3 + 2x^2 - 7.871 = 0
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I graphed it;it crosses the x-axis once at x = 1.4996862....
or about x = 1.5. The other two roots are complex.
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Radius is 1.5 and height is 3.5
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Cheers,
Stan H.