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G11 - Surface Area - Unwrapping a Cylinder

Interact with the applet, observe what happens as we unwrap the cylinder and answer the questions below.

1.

What shapes are created? How many of each?

2.

Connect the length and the width of the rectangle with the measurements of the cylinder. You may need to unwrap the cylinder a few times. Hint: There is a connection to the circle at the base...

Connecting

Which of the following represents the formula for the surface area of a cylinder?

該当するものを全て選択
  • A
  • B
  • C
  • D
答 (3)を確認

Figure 1

Figure 1

Real-Life Application

Consider Figure 1. You earn $0.01 for recycling the sweet peas can. How much can you expect to earn for recycling the tomato can? Assume that the recycle value is proportional to the surface area. Explain your thinking.