Find the height of a cylinder with a surface area of 108 pi square meters. the radius of the cylinder is twice the height.

Let
x> radius of the cylinder
y> the height of the cylinder

we know that
x=2y
[surface area of cylinder]=2*[pi*r²]+2*pi*r*h
surface area=108*pi m²
r=x
h=y
x=2y
108*pi=2*[pi*(2y)²]+2*pi*(2y)*y
108*pi=8*pi*y²+4*pi*y²
108*pi=12*pi*y²
y²=108/12
y²=9> y=√9> y=3 m
x=2y> x=2*3> x=6 m

the answer is
the height of the cylinder is 3 m

Suredude why not right

It will never be positive always negative