Maria wants to find the surface area of a steel rod that is in the shape of a right circular cylinder. The diameter is 0.50 inches, and the length is 36 inches. What is the surface area? Use 3.14 for . (1 point)
• 56.91 inches?
• 0.39 inches?
• 114.61 inches?
O 56.52 inches?
To find the surface area of a right circular cylinder, you need to calculate the lateral surface area and the area of the two circular bases separately and then add them together.
First, let's find the lateral surface area:
Lateral surface area = height x circumference of the base
Given that the diameter is 0.50 inches, therefore the radius (r) = 0.25 inches (diameter/2)
Circumference of the base = 2 x pi x r = 2 x 3.14 x 0.25 = 1.57 inches
Height = 36 inches
Lateral surface area = 36 x 1.57 = 56.52 square inches
Now, let's find the area of the two circular bases:
Area of one circular base = pi x r^2 = 3.14 x 0.25^2 = 0.19625 square inches
Area of two circular bases = 2 x 0.19625 = 0.3925 square inches
Surface area = Lateral surface area + Area of two circular bases
Surface area = 56.52 + 0.3925 = 56.9125 square inches
Therefore, the surface area of the steel rod is approximately 56.91 square inches. So the correct answer is:
• 56.91 inches