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⋅ 3.14163≐3.1639 cm h=2⋅ r=2⋅ 3.1639≐6.3278 cm  S1=π⋅ r2=3.1416⋅ 3.16392≐31.4484 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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