Cylinder height surface

The volume of the cylinder is 193 cm³, and the radius of its base is 6.4 cm. Calculate the height and surface of the cylinder to 1 decimal place.

Final Answer:

h =  1.4998 cm
S =  317.7 cm²

Step-by-step explanation:

$$\begin{gathered} V=193{\text{cm}}^3 \\ r=6.4\text{cm} \\ {S}_1=\pi \cdot r^2=3.1416\cdot 6.4^2\doteq 128.6796{\text{cm}}^2 \\ V=S_1\cdot h \\ h=V/S_1=193/128.6796=1.4998\text{cm} \end{gathered}$$

$S=2\cdot S_1+2\pi \cdot r\cdot h=2\cdot 128.6796+2\cdot 3.1416\cdot 6.4\cdot 1.4998=317.7{\text{cm}}^2$

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