Question

Determine the surface area of the cylinder. (Use π = 3.14) net of a cylinder where radius of base is labeled 5 inches and a rectangle with a height labeled 4 inches

157 in^2
219.8 in^2
282.6 in^2
314 in^2

Answer 1

To determine the surface area of the cylinder, you can calculate the lateral surface area of the cylinder (the side) and the area of the two circular bases, and then add them together. Here's the formula:

Lateral Surface Area = 2πrh
Area of Each Circular Base = πr^2

Given:
Radius (r) = 5 inches
Height (h) = 4 inches
π (pi) = 3.14

1. Lateral Surface Area = 2 * 3.14 * 5 * 4 = 125.6 square inches
2. Area of Each Circular Base = 3.14 * 5^2 = 78.5 square inches (for one base)

Now, add the lateral surface area and the area of both bases:

Total Surface Area = 2 * (Area of Each Circular Base) + Lateral Surface Area
Total Surface Area = 2 * 78.5 + 125.6 = 157 + 125.6 = 282.6 square inches

So, the surface area of the cylinder is 282.6 square inches, which matches option C: 282.6 in^2.