C. Determine the volume of the Gabriel's Horn by method of slicing in Sec 6.2. D. Determine the surface area of the Gabriel's Horn by the formula we learned in Sec 8.2. E. From your answers to Q3 and Q4, can you observe the Painter's Paradox: Since the horn has finite volume but infinite surface area, there is an apparent paradox that the horn could be filled with a finite quantity of paint and yet that paint would not be sufficient to coat its inner surface. Is it possible? Why? F. Is there a surface of revolution that has a finite surface area but an infinite volume. Yes or No, and why?

4. Pretend the three squares you see below are each one square yard. So what you are looking at in total is what we mean when we say the phrase "three square yards." a. How big are these three square yards in square feet? Use dimensional analysis and the facts in the green box above.

... Parks will be built adjacent to two circular retention ponds. Each pond has 5 miles in radius. Each park will be covered with grass in the area depicted in light green in the figure below. What is the area of one of the parks? If all sides of each park need to be fenced (e.g. one straight side and the two circular sides bordering each park), what is the length of the fence needed? Describe how you came to your answers. 5. The area of the park: The length of the fence: Edit View Insert Format Tools Table 12pt v Paragraph v MacBook Air 000 000 DD F3 F4 F5 F8 %23

Problem B. - A Norman Window is a sectangle with a semicicle on top. [Ser diogrom The perimeter of te window is 24 fH. Maxinize te Area of this windw and tigure out it's dinensions. +SC