What is the surface area of a cylinder with base radius 4 and height 7? Either enter an exact answer in terms of / pi or use 3.14 for / piπpi and enter your answer as a decimal

The surface area is 88*pi square units.

Step-by-step explanation:

The surface area of a cylinder is given by two times the area of the base plus the area of the sides. This is given bellow:

surface area = 2 * (base area) + (side area)

base area = pi*r²

base area = pi * (4) ²

base area = pi*16 = 16*pi

side area = 2*pi*r*h

side area = 2*pi*4*7

side area = 8*7*pi

side area = 56*pi

surface area = 2 * (16*pi) + 56*pi

surface area = 32*pi + 56*pi

surface area = 88*pi

The surface area is 88*pi square units.