Answer:
9 inches
Step-by-step explanation:
You want to know the height of a cylinder with surface area 140π square inches and radius 5 inches. When you put these values into the formula for the surface area of a cylinder, you obtain an equation that can be solved for the height.
A = 2πr(r +h)
140π = 2π(5)(5 +h) . . . substitute given values
14 = 5 +h . . . . . . . . . . . divide by 10π
9 = h . . . . . . . . . . . . . . subtract 5
The height of the cylinder is 9 inches.