Cylinder diameter

The surface of the cylinder is 149 cm2. The cylinder height is 6 cm. What is the diameter of this cylinder?

Correct result:

D =  5.439 cm

Solution:

S=2πr2+2πrh S=πD2/2+πDh  πD2/2+πDhS=0 πD2/2+π6D149=0  1.57079632679D2+18.85D149=0  a=1.57079632679;b=18.85;c=149 D=b24ac=18.85241.57079632679(149)=1291.50036921 D>0  D1,2=b±D2a=18.85±1291.53.14159265359 D1,2=6±11.4392458704 D1=5.43924587037 D2=17.4392458704   Factored form of the equation:  1.57079632679(D5.43924587037)(D+17.4392458704)=0  D>0 D5.439 cm



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