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 5.7 meters and the height of the tank is 7.1 meters. Water is flowing into the tank at a constant rate of 80.8 m3/minute. At the instant the the depth of the water is 1 meter, 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?