Question

Remember to use 3.14 for π
. Round to the nearest hundredths place (2 digits after the decimal).
Determine the area of the circular base of the cylinder.
Determine the width of the lateral face of the cylinder.
Determine the area of the lateral face of the cylinder.
What is the total surface area of the cylinder?

height 3 in
radius 10in

Answer 1

Area of the circular base of the cylinder = π * radius^2
Area = 3.14 * 10^2
Area = 3.14 * 100
Area = 314 square inches

Width of the lateral face of the cylinder = circumference of the base = 2π * radius
Width = 2 * 3.14 * 10
Width = 6.28 * 10
Width = 62.8 inches

Area of the lateral face of the cylinder = width * height
Area = 62.8 * 3
Area = 188.4 square inches

Total surface area of the cylinder = 2(base area) + lateral face area
Total surface area = 2(314) + 188.4
Total surface area = 628 + 188.4
Total surface area = 816.4 square inches