Cylinder Problem Solving

1. Please discuss the Activity (Roll a Cylinder) that you did for homework. Write a brief summary of your results.

2. If you included the top and bottom of a cylindrical shape, what would be the formula for its suface area. Hint: Think about taking th etop and bottom off and unwrapping the middle part. Hint2: remember the formula for the circumference of a circle.

3. Suppose a water tank in the shape of a right circular cylinder is thirty feet long and eight feet in diameter. How much sheet metal was used in its construction?

Side view of the cylindrical tank, showing the radius "r

An "exploded view" of the tank, showing the three separate surfaces whose areas I need to find.

4. The U.S. Postal Service will only mail packages that meet certain size requirements. For cylinder-shaped packages (or "rolls"), the minimum length is 4 inches and the maximum length is 36 inches. There is also a restriction that the length plus two diameters can be no more than 42 inches (why do you think they have this restriction?).

What are the dimensions of an acceptable cylinder-shaped package that will have the greatest volume?

5. Have you ever seen a tree big enough to drive a car through??

Below are some statistics on some very big trees in the USA. Assume the average car is 6ft wide.

6. If I doubled the height of a coke can, what happens to its volume? Its surface area?