14. Find the height of a cylinder if the surface area is 408.41 square inches and the radius is 5

inches.

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