Question

find the height of a cylinder with a surface area of 108 pie square meters. The radius of the cylinder is twice the height.​

Answer 1

Step-by-step explanation:

surface area of cylinder = 108π

let height = h m.

than radius = 2h m.

surface area of cylinder - 2πrh

2 ×π×h×2h = 108π

4h² = 108

h² = 27

h = √27 = 3√ 3 m.

please mark answer brainliest.

Answer 2

assuming the cylinder is closed at both ends 

Surface area = 2 pi r^2 + 2 pi r h  = 108

now h = r/2 so we have:- 

2pi r^2 +  pi r^2= 108 

3 pi r^2   = 108r^2 = 11.459

r =  3.385 

so the height h = 1.693 m to nearest thousandth