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

Correct answer:

S =  25.1969 cm²

Step-by-step explanation:

$$\begin{gathered} S_1=20{\text{cm}}^2 \\ v=3.5\text{ cm } \\ {S}_1=2\pi rv \\ r=S_1\mathrm{/}(2\pi \cdot v)=20\mathrm{/}(2\cdot 3.1416\cdot 3.5)\doteq 0.9095\text{ cm } \\ {S}_2=\pi \cdot r^2=3.1416\cdot 0.9095^2\doteq 2.5984{\text{cm}}^2 \\ S=S_1+2\cdot S_2=20+2\cdot 2.5984=25.1969{\text{cm}}^2 \end{gathered}$$

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