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 = π r2 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=π r2V=3.1416 (5.1994)21922.2607 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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