# Surface of the cylinder

Calculate the surface of the cylinder for which the shell area is Spl = 20 cm2 and the height v = 3.5 cm

Result

S =  25.197 cm2

#### Solution:

$S_{ 1 } = 20 \ cm^2 \ \\ v = 3.5 \ cm \ \\ \ \\ S_{ 1 } = 2 \ \pi r v \ \\ \ \\ r = S_{ 1 } / (2 \pi \cdot \ v) = 20 / (2 \cdot \ 3.1416 \cdot \ 3.5) \doteq 0.9095 \ cm \ \\ \ \\ S_{ 2 } = \pi \cdot \ r^2 = 3.1416 \cdot \ 0.9095^2 \doteq 2.5984 \ cm^2 \ \\ \ \\ S = S_{ 1 } + 2 \cdot \ S_{ 2 } = 20 + 2 \cdot \ 2.5984 \doteq 25.1969 = 25.197 \ cm^2$

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