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

CONICAL TANK (INVERTED) PROBLEM

The radius of a conical tank is 5.8 meters and the height of the tank is 7.1 meters. Water is flowing into the tank at a constant rate of 38.5 m3/minute. At the instant the the depth of the water is 0.9 meters, answer the following:

(A) At what rate is the depth of the water changing?


(B) At what rate is the radius of the waters surface changing?


(C) At what rate is the surface area of the exposed water changing?