Equilateral cylinder

Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 199 cm3 . Calculate the surface area of the cylinder.

Correct result:

S =  188.69 cm2

Solution:

V=199 cm3 h=2r V=π r2 h=2 πr3 r=V2π3=1992 3.141633.1639 cm h=2 r=2 3.16396.3278 cm  S1=π r2=3.1416 3.1639231.4484 cm2  V1=S1 h=31.4484 6.3278=199 cm3 V1=V  S=2 S1+2π r h=2 31.4484+2 3.1416 3.1639 6.3278=188.69 cm2



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