Homework 5

Homework 5: Due Friday 2 May, 2003

Chapter 8.1

1. 5
2. 7
3. 13
4. 16
5. 25

1. 1
2. 5
3. 7
4. 11
5. 25
6. 29

These problems will be due next week, but you might want to start them this week

Volume of a Donut Compute the volume of a solid torus (aka a donut) with inner radius R and outer radius r. Be sure to label r and R on a diagram; there are different ways to define them.

Surface Areas and a trip to the Moon In answering the following questions, you should derive any surface area formula you use. I suggest beginning by trying to use integration to derive the formula for the surface area of a sphere. Start this problem this week, but it won't be due until next week. This problem isn't easy.

1. What fraction of the earth's surface is visible from the moon?
2. What fraction of the earth's surface is visible if you are 35,000 feet above the surface of the earth?
3. What fraction of the earth's surface is visible from a satellite orbiting 280 km above the surface of the earth?

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