Rotary cylinder

In the rotary cylinder it is given: surface S = 96 cm2 and volume V = 192 cm cubic. Calculate its radius and height.

Correct answer:

r =  -5.1994 cm
h =  2.2607 cm

Step-by-step explanation:

S=96 cm2 V=192 cm3  S=2π r2+2π r h V=πr2 h  S/(2π)=r2+r h V/π=r2 h  rh=V/(π r)  S/(2π)=r2+V/(π r) S/2=π r2+V/r r S/2=π r3+V  r=5.1994=5.1994 cm h=Vπ r2=1923.1416 (5.1994)22.2607 cm   Verifying Solution:  S1=2π r2+2π r h=2 3.1416 (5.1994)2+2 3.1416 (5.1994) 2.260796.0035 V1=π r2 h=3.1416 (5.1994)2 2.2607=192  S1=S,V1=V

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