Answer:
44 square inches.
Step-by-step explanation:
radius of the base = 5.5 inches
height of the cylinder = 4 inches
The shape of the vertical cross section of the cylinder through the center of the base would give a rectangle with length of 2r, and its width is the height of the cylinder.
Area of the vertical cross section = height x diameter
diameter of the cylinder = 2r
= 2 x 5.5
= 11 inches
The diameter of the cylinder is 11 inches.
Area of the vertical cross section = 4 x 11
= 44 square inches.
The area of a vertical cross section of the cylinder through the center of the base is 44 square inches.
