Question 856376
volume of cylinder = pi r^2h= 108 pi

height to radius ratio = 4:1

let k be the common factor

height = 4k
radius = k

pi * r^2 h = 108 pi

pi * k^2* (4k) =108pi

4k^3 = 108

k^3=108/4

k^3 = 27

k=3 cm

r= 3 and height = 12cm