M E N U
DIRECTIONS
1. USEFUL FORMULAS
2. THE CIRCLE (3 VARIATIONS)
3. THE SPHERE (2 VARIATIONS)
4. THE SQUARE (2 VARIATIONS)
5. THE CUBE (2 VARIATIONS)
6. THE RECTANGLE
7. THE AIRPLANE
8. THE SLIDING LADDER
9. MAKING SHADOWS
10. THE CONICAL TANK
11. THE CONICAL PILE
12. FLYING A KITE
13. REVOLVING SEARCHLIGHT
14. TRAVELING CARS (2 VARIATIONS)
15. MORE SHADOWS
16. THE BASEBALL FIELD
17. THE CYLINDRICAL TANK
18. EQUATION ONE (2 VARIATIONS)
19. EQUATION TWO (2 VARIATIONS)
20. EQUATION THREE (2 VARIATIONS)
21. EQUATION FOUR (2 VARIATIONS)
22. EQUATION FIVE (2 VARIATIONS)
23. EQUATION SIX (2 VARIATIONS)
24. EQUATION SEVEN
25. THE REVOLVING BEACON
26. THE ISOSCELES TROUGH
27. THE SPACE SHUTTLE
28. GONE FISHING
29. THE CLOCK
30. THE TRIANGLE #1
31. THE TRIANGLE #2
32. THE SNOWBALL
33. THE OTHER AIRPLANE
34. YET ANOTHER SHADOW
35. THE BASKETBALL SHADOW
• 36. MAKING COFFEE

MAKING COFFEE

Fresh coffee is draining from an conical filter with a diameter(D) of 7 inches and a heigh(H) of 9 inches at a rate of 10.5 cubic inches per minute. It is draining into a coffee pot that has a diameter(C) of 5 inches. Assuming that no more water is being poured into the filter, find the following when the water level is 7 inches deep in the filter.

(A) At what rate is the water level in the filter falling?


(B) At what rate is the coffee level in the coffee pot rising?