Closed drum

Find the total surface area of a closed cylindrical drum if it's diameter is 50 cm and height is 45 cm. (π= 3.14)

Correct answer:

S =  10995.5743 cm²

Step-by-step explanation:

$$\begin{gathered} D=50\text{ cm } \\ h=45\text{ cm } \\ r=D\mathrm{/}2=50\mathrm{/}2=25\text{ cm } \\ {S}_1=\pi \cdot r^2=3.1416\cdot 25^2\doteq 1963.4954{\text{cm}}^2 \\ {S}_2=\pi \cdot D\cdot h=3.1416\cdot 50\cdot 45\doteq 7068.5835{\text{cm}}^2 \\ S=2\cdot S_1+S_2=2\cdot 1963.4954+7068.5835=10995.5743{\text{cm}}^2=1.100\cdot 10^4{\text{cm}}^2 \end{gathered}$$

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