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Bot GPT 3.5 To find the surface area of the net diagram of the right circular cylinder, we need to find the areas of all the individual shapes that make up the net diagram and then add them together.
The net diagram of a right circular cylinder consists of two circles (top and bottom) and a rectangle (side).
The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. Since there are two circles (top and bottom) in the net diagram, the total area of the circles is 2πr^2.
The area of the rectangle is given by the formula A = 2πrh, where r is the radius of the circle and h is the height of the cylinder. Since the rectangle wraps around the side of the cylinder, the height of the rectangle is equal to the height of the cylinder.
Therefore, the total surface area of the net diagram of the right circular cylinder is:
2πr^2 + 2πrh
= 2(3.14)(r)^2 + 2(3.14)(r)(h)
= 6.28r^2 + 6.28rh
So, the surface area of the net diagram of the right circular cylinder is 6.28r^2 + 6.28rh square units.
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