Cylinder diameter

The surface of the cylinder is 112 cm2. The cylinder height is 5 cm. What is the diameter of this cylinder?

Correct answer:

D =  4.813 cm

Step-by-step explanation:

S=112 cm2 h=5 cm  S = 2 π r2 + 2 π r h S = π D2/2 + π D h  pi D2/2+pi D hS=0  3.1415926 D2/2+3.1415926 D 5112=0 1.5707963D2+15.708D112=0  a=1.570796;b=15.708;c=112 D=b24ac=15.708241.570796(112)=950.4568440094=4.813 cm D>0  D1,2=2ab±D=3.14159315.71±950.46 D1,2=5±9.813328 D1=4.813328473 D2=14.813328473  D>0  D=D1=4.81334.8133   Verifying Solution:  r=D/2=4.8133/22.4067 cm  S2=2π r2+2π r h=2 3.1416 2.40672+2 3.1416 2.4067 5=112 cm2 S2=S

Our quadratic equation calculator calculates it.




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