Cylinder surface area

Volume of a cylinder whose height is equal to the radius of the base is 678.5 dm³. Calculate its surface area.

Correct answer:

S =  452.352 dm²

Step-by-step explanation:

$$\begin{gathered} V=678.5 \\ h=r \\ V=\pi r^{2}h=\pi r^3 \\ r=\sqrt[3]{V\mathrm{/}\pi }=\sqrt[3]{678.5\mathrm{/}3.1416}\doteq 5.9998 \\ h=r=5.9998\doteq 5.9998 \\ S=2\pi \cdot r^2+2\pi \cdot r\cdot h=2\cdot 3.1416\cdot 5.9998^2+2\cdot 3.1416\cdot 5.9998\cdot 5.9998=452.352{\text{dm}}^2 \end{gathered}$$

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