Surface Area of Cylinders Quick Check

Question

4 of 54 of 5 Items
Question
Jamal wants to wrap the cylinder-shaped candle he bought for his mom. If the diameter is 3.7 inches and the height is 6.2 inches, solve for the surface area. Use 3.14 for π.(1 point)
Responses

230.4 square inches
230.4 square inches

93.5 square inches
93.5 square inches

21.5 square inches
21.5 square inches

72 square inches

Answer 1

To find the surface area of a cylinder, you need to find the area of the two bases (top and bottom) and the lateral surface area.

First, find the area of the bases:
Area = π * radius^2
Since the diameter is 3.7 inches, the radius is half of that which is 1.85 inches.
Area = 3.14 * 1.85^2
Area ≈ 3.14 * 3.4225
Area ≈ 10.75 square inches for one base
Since there are two bases, the total area of the bases is:
Total base area = 2 * 10.75
Total base area = 21.5 square inches

Now, find the lateral surface area:
Lateral Surface Area = 2 * π * radius * height
Lateral Surface Area = 2 * 3.14 * 1.85 * 6.2
Lateral Surface Area = 2 * 3.14 * 11.57
Lateral Surface Area = 72.6748 square inches

Add the area of the bases to the lateral surface area to get the total surface area:
Total Surface Area = Total base area + Lateral Surface Area
Total Surface Area = 21.5 + 72.6748
Total Surface Area ≈ 94.1748 square inches

Therefore, the surface area of the cylinder is approximately 94.17 square inches. The closest option is 93.5 square inches.