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

Answer 1

The surface area of the right circular cylinder can be found by adding the areas of the two circles and the rectangular side.

The area of a circle is calculated using the formula A = πr^2, where r is the radius.

For the two circles attached to the rectangle:
Area of one circle = π(8)^2 = 64π
Area of two circles = 2(64π) = 128π

For the rectangle:
Area of rectangle = height x width = 4 x 8 = 32

Now, add the areas of the two circles and the rectangle:
Surface area = 128π + 32
Surface area = 128(3.14) + 32
Surface area = 401.92 + 32
Surface area = 433.92

Therefore, the surface area of the net diagram of the right circular cylinder is 433.92 square inches.