Question

An architect uses a cylindrical container to protect her blueprints. The dimensions of the cylinder are shown in the diagram. Which measurement is closest to the total surface area of the container in square inches?

a. 315 in^2
b. 377 in^2
c. 707 in^2
d. 1,132 in^2

Answer 1

The surface area of a cylinder can be calculated using the formula: SA = 2πr(h + r). Using the given dimensions, the total surface area of the container is approximately 22.62 square inches. The closest measurement to this is b) 377 in^2.

Step-by-step explanation:

The surface area of a cylinder can be calculated using the formula:

SA = 2πr(h + r)

Where r is the radius and h is the height of the cylinder.

Using the dimensions given in the diagram, we have:

radius (r) = 0.75 inches and height (h) = 5.25 inches

Plugging these values into the formula, we get:

SA = 2π(0.75)(0.75 + 5.25) ≈ 2π(0.75)(6) ≈ 2(3.14)(0.75)(6) ≈ 3.77(6) ≈ 22.62 square inches

The measurement closest to the total surface area of the container is b) 377 in^2