Answer:
r = 5.848cm, h = 11.696cm
Step-by-step explanation:
Surface area:
Volume:
Therefore, the height of a cylinder given its volume would be , thus:
We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:
If , then the surface area of the cylinder increases
Therefore, the surface area is minimized when the radius is , making the minimum height
.
In conclusion, the 2nd option is correct.