Answer:
[tex] area = 47.1~in.^2 [/tex]
Step-by-step explanation:
You need to find the lateral area of a cylinder. The lateral surface of a cylinder is a rectangle. Its length is circumference of the base, and its width is the height of the cylinder. Just find the area of that rectangle.
circumference = (pi)d
d = 3 in.
height = h = 5 in.
[tex] area = length \times width [/tex]
[tex] area = \pi d \times h [/tex]
[tex] area = (3.14)(3~in.)(5~in.) [/tex]
[tex] area = 47.1~in.^2 [/tex]