The cylinder

The cylinder has a surface area of 300 square meters, while the cylinder's height is 12 m. Calculate the volume of this cylinder.

Correct answer:

V =  374.3807 m3

Step-by-step explanation:

S=300 m2 h=12 cm  S=2pir2+2pirh  300=2 3.1415926 r2+2 3.1415926 r 12 6.283185r275.398r+300=0 6.283185r2+75.398r300=0  a=6.283185;b=75.398;c=300 D=b24ac=75.398246.283185(300)=13224.71394108 D>0  r1,2=2ab±D=12.5663775.4±13224.71 r1,2=6.00000019±9.1513107014069 r1=3.151310510421 r2=15.151310892393   Factored form of the equation:  6.283185(r3.151310510421)(r+15.151310892393)=0  r=r1=3.15133.1513 S1=π r2=3.1416 3.1513231.1984 m2  V=S1 h=31.1984 12374.3807 m3   Verifying Solution:  S2=2π r2+2π r h=2 3.1416 3.15132+2 3.1416 3.1513 12=300 S=S2

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