Flow of water F in cb feet per second can be represented by F=1.26H^3/2 where H is height of the water in meter Find height of water is 10.08 cb feet/ second

Question

The flow of water F in cubic feet per second over a dam can be represented by F=1.26H^3/2 where height is H in meters above the crest of the dam. Find the height of the water if the flow is 10.08 cubic feet per second.

Answer 1

Your equation has two variables and you're given one of them, so plug it in and find the other.

 

F = 1.26H^3/2 = 10.08     Divide both sides by 1.26

H^3/2 = 8              Square both sides

H³ = 64

H = 4

 

Answer 2

10.08 = 1.25h^3/2

8 = h^3/2

h = 8^2/3

h = 4