volume of cylinder=area of base times height
area of base=pi times radius^2
diameter=2radius
diameter/2=radius
diameter=15
15/2=radius
7.5=radius
pi=aprox 3.14
3.14 times 7.5^2
3.14 times 56.25
176.625 times height=402
divide both sides by 176.625
height=2.28
the height=2.28 cm