Surface Area of Cylinders Practice

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Question
Use the image to answer the question.

An illustration shows a horizontal rectangle of height 4 inches with a circle of radius 8 inches attached to its top left and a circle of radius 8 inches attached to its bottom right.

Find the surface area of the net diagram of the right circular cylinder. Use 3.14 for π.

(1 point)
inches2

1 answer

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

First, find the area of the two circles:
Area = πr^2
Area = 3.14 * 8^2
Area = 3.14 * 64
Area = 200.96 square inches for each circle

Next, find the lateral surface area (the rectangle part):
Height of rectangle = 4 inches
Width of rectangle = the circumference of the circle = 2πr = 2 * 3.14 * 8 = 50.24 inches

Lateral surface area = Height * Width
Lateral surface area = 4 * 50.24
Lateral surface area = 200.96 square inches

Now, add the areas of the two circles and the lateral surface area to get the total surface area:
Total surface area = 2(Area of circle) + Lateral surface area
Total surface area = 2(200.96) + 200.96
Total surface area = 401.92 + 200.96
Total surface area = 602.88 square inches

Therefore, the surface area of the net diagram of the right circular cylinder is 602.88 square inches.