The surface

The surface of the cylinder is 1570 cm2, its height is 15 cm. Find its volume and radius of the base.

Correct answer:

V =  4712.389 cm3
r =  10 cm

Step-by-step explanation:

S=1570 cm2 h=15 cm  S=2pir(r+h)  1570=2 3.1415926 r(r+15) 6.2831852r294.248r+1570=0 6.2831852r2+94.248r1570=0  a=6.2831852;b=94.248;c=1570 D=b24ac=94.248246.2831852(1570)=48341.0467139 D>0  r1,2=b±D2a=94.25±48341.0512.5663704 r1,2=7.5±17.4963786229 r1=9.99637862292 r2=24.9963786229   Factored form of the equation:  6.2831852(r9.99637862292)(r+24.9963786229)=0  r=[r1]=[9.9964]=10 cm  V=π r2 h=3.1416 102 15=4712.389 cm3

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