Cans

How many m² of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm.

Correct answer:

x =  628.3 m²

Step-by-step explanation:

$$\begin{gathered} r=5\text{ cm } \\ h=r=5\text{ cm } \\ {S}_1=2\pi \cdot r^2+2\pi \cdot r\cdot h=2\cdot 3.1416\cdot 5^2+2\cdot 3.1416\cdot 5\cdot 5\doteq 314.1593{\text{cm}}^2 \\ N=20000 \\ S=N\cdot S_1=20000\cdot 314.1593\doteq 6283185.3072{\text{cm}}^2 \\ x=S\to {\text{m}}^2=S\mathrm{/}10000{\text{m}}^2=6283185.3072\mathrm{/}10000{\text{m}}^2=628.3{\text{m}}^2 \end{gathered}$$

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