What is the surface area of this cylinder?
Use π≈3.14 and round your answer to the nearest hundredth.
Find the radius
The radius is half the diameter, so r=28=4 inches.
Calculate the area of the two circular bases
The area of one circular base is πr2=3.14×42=3.14×16=50.24 square inches.
The area of two circular bases is 2×50.24=100.48 square inches.
Calculate the lateral surface area
The lateral surface area of a cylinder is given by 2πrh. In this case, r=4 and h=12.
Lateral surface area = 2×3.14×4×12=301.44 square inches.
Calculate the total surface area
Total surface area = Area of two circular bases + Lateral surface area
Total surface area = 100.48+301.44=401.92 square inches.
401.92
401.92