Answer:
Height is 8.0in
Step-by-step explanation:
Surface Area of a cylinder = 2πr(r+h)
r is the radius
h is the height of the cylinder
Given surface area = 408.41in²
radius = 5in
h = ?
Substituting the given value into the formula
408.41 = 2π(5)(5+h)
408.41 = 50π + 10πh
408.41 = 50(3.14)+10(3.14)h
408.41 = 157+31.4h
408.41-157 = 31.4h
251.41 = 31.4h
h = 251.41/31.4
h = 8.0in
