Cylinder diameter

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

Correct answer:

D =  5.439 cm

Step-by-step explanation:

S=2πr2+2πrh S=πD2/2+πDh  πD2/2+πDhS=0 πD2/2+π6D149=0  1.5707963267949D2+18.85D149=0  a=1.5707963267949;b=18.85;c=149 D=b24ac=18.85241.5707963267949(149)=1291.500369209 D>0  D1,2=b±D2a=18.85±1291.53.1415926535898 D1,2=6±11.43924587037 D1=5.4392458703697 D2=17.43924587037   Factored form of the equation:  1.5707963267949(D5.4392458703697)(D+17.43924587037)=0  D>0 D5.439 cm

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