# sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. of the sand is falling at the rate of 10 cubic feet per minute, how

23,084 results
1. ## Related Rates

Sand is falling into a conical pile at the rate of 10 m3/sec such that the height of the pile is always half the diameter of the base of the pile. Find the rate at which the height of the pile is changing when the pile is 5 m. high. h= r=5 V=

2. ## Related rates

Sand is being dropped at the rate of 10 cubic meter per minute onto a conical pile. If the height of the pile is always twice the base radius, at what rate is the height increasing when the pile is 8 meters high?

3. ## calculus

Sand is poured at the rate of 10 m cube /min so as to form a conical pile whose altitude is always equal to the radius of its base a) How fast is the radius increasing when it is 5 meters? b) Find the rate at which the area of its base is increasing when

4. ## calculus

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at the rate of 10 cubic feet per minute. The diameter of the base of the cone is approx­ imately three times the altitude. At what rate is the height of the pile changing

5. ## Math

Sand is falling off a conveyor belt and onto a conical pile at a rate of 12 cubic feet per minute. The diameter of the base of the cone is approximately 4 times the height of the pile. A) At what rate is the height of the pile changing when the pile is 10

6. ## calculus

sand is being dropped onto a conical pile in such a way that the height of the pile is always twice the base radius.what is the rate of change of the volume of the pile with respect to the radius when the radius of the pile is 12 inches?

7. ## Calculus

sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. of the sand is falling at the rate of 10 cubic feet per minute, how fast is the altitude of the pile increasing when the pile is 5 feet

8. ## maths-surface area

A cone 7dm high and 6 dm in diameter is placed on the ground. Sand is poured over it until conical heap 21 dm high and 33 dm circumference at the bottom is formed. Find how many m^3 of sand is there?

9. ## Related Rates

Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 25

10. ## Calculus - Rate of Change

Can someone explain how to solve this problem? Sand is being dumped on a conveyor belt onto a pile in such a way that the pile forms in the shape of a cone whose radius is always equal to its height. Assuming that the sand is being dumped at a rate of 10

11. ## calculus

Sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. If the sand is falling at the rate of 10 cubic feet per minute, how fast is the altitude of the pile increasing when the pile is 5 feet

Wheat is falling from a chute onto a level floor at a rate of 8pi ft3/min to form a conical pile. If the height of the pile is always equal to the radius of its base, at what rate is the radius increasing when the pile is 8 ft deep?

13. ## Physics

A body of mass 0.05kg falls from the height of 3m into a pile of send .the body penetrates the sand to a distant of 0.03m before stopping .what force is exerted by the sand

14. ## Calculus

Sand falls from a conveyor belt at the rate of 20 m^3/min. The sand forms a conical pile where the height of the cone is always 4 times the radius. How fast is the radius changing when the pile is 4 meters high?

15. ## Calculus 1

sand is being poured onto the ground forming a conical pile whose height equals 1/4 of the diameter of the base. The sand is falling at a rate of 20cm^3/sec. How fast is the height of the sand pile increasing when it is 3cm high?

16. ## derivatives as a rate of change

sand is being dropped at a rate of 10cubic meters per minute onto a conical pile. if the height of the pile is always half the base radius, at what rate is the height increasing when the pile is 8m high?

17. ## Calculus

Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 15

18. ## Calculus

Sand falls from a conveyor belt onto a conical pile at a rate of 6ft/mi^3. The radius of the base is always equal to two-thirds of the pile’s height. At what rate is the height of the pile changing when the radius of the base of the pile is 2 ft? I

19. ## Math

Corn is poured through a chute at the rate of 10ft^3 / min and falls in a conical pile whose bottom radius is always half the height. How fast is the circumference of the base changing when the pile is 8 feet high? Please explain

20. ## calculus

Sand is poured at the rate of 10 m cube /min so as to form a conical pile whose altitude is always equal to the radius of its base.

21. ## Calculus

Sand pouring from a conveyor belt forms a conical pile the radius of which is 3/4 of the height. If the sand is filling up at a constant rate of 1/2m^3/min, at what rate is the height of the pile is growing 3 min after the pouring starts?

22. ## Calculus

Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 16 feet

23. ## Calculus

Hello, I posted a question earlier but now I'm stuck on the second part of the question. Please help me. Sand is being dumped from a conveyor belt at a rate of 20 cubic ft/min into a pile the shape of an inverted cone whose diameter and height are always

24. ## Physics

A truck runs into a pile of sand, moving 1.6m as it slows to a stop. The magnitude of the work that the sand does on the truck is 6.0×105J. What is its average force that the sand exerts on the truck?

25. ## Calculus

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 6 ft

26. ## Algebra 2

You are designing a kit for making sand castles. You want one of the molds to be a cone that will hold 48π cubic inches of sand. What should the dimensions of the cone be if you want the height to be 5 inches more than the radius of the base?

27. ## AP CALC. AB

Please help me with this problem and please walk me through each step i am really confused. Sand is falling from a rectangular box container whose base measures 40 inches by 20 inches at a constant rate of 300 cubic inches per minute. a) how is the depth

28. ## Math 20-3

A pile of gravel is conical in shape. If the diameter is approximately 6.8m and the height is 2.8m, what is the volume of gravel in the pile?

29. ## calculus

grain is being poured through a chute at rate of 8 ft^3/min and forms a conical pile whose radius of the bottom is always 1/2 the height of pile. How fast is circumference increasing when the pile is 10 feet high?

30. ## AP Calculus

Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If the height increases at a constant rate of 5 ft/min, at what rate is sand pouring from the chute when the pile is 10 ft high?

31. ## related rates calculus 1

gravel is being dumped from a conveyor belt at a rate of 15 ft^3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the

32. ## Math

Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 25

33. ## Math

Water is flowing at the rate of 50m^3/min from a concrete conical reservoir of base radius 45m and height 6m. How fast is is the water level falling when the water is 5m deep?

34. ## calculus

⦁ Sand is being poured on the ground from the office of an elevated pipe. It forms a conical pile whose altitude is always equal to 4/3 the radius of the base. Approximate all the answers to two decimal places. ⦁ How fast is the volume increasing when

35. ## calculus

Sand falls from a conveyor belt at a rate of 20 m^3/min onto the top of a conical pile. The height of the pile is always 3/4 of the base diameter. Answer the following. a.) How fast is the height changing when the pile is 10 m high? Answer = m/min. b.) How

36. ## geometry

A pile of gravel is conical in shape. If the diameter is approximately 6.8m and the height is 2.8m, what is the volume of gravel in the pile.

37. ## Maths

height of a right circular cone filled with sand is 9 cm. radius of the base of the cone is 3.5cm. find the mass of sand@10g per cm3

38. ## Calc

Gravel is being dumped from a conveyor belt at a rate of 10 ft^3/min. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 23 feet high?

39. ## Calculus 1

sand is being poured onto the ground forming a conical pile whose height equals 1/4 of the diameter of the base. The sand is falling at a rate of 20cm^3/sec. How fast is the height of the sand pile increasing when it is 3cm high?

40. ## math

a sand pile in a shape of an upside-down cone has a volume of 350 m2 . The diameter of the base pof the pile is 7m. what is the height of the sand pile?

41. ## math

a sand pile in a shape of an upside-down cone has a volume of 350 m2 . The diameter of the base pof the pile is 7m. what is the height of the sand pile?

42. ## Calculus

Sand is poured onto a level piece of ground at the rate of 0.25 m^3/min and forms a conical pile whose height is equal to its base diameter. How fast is the height increasing at the instant when the height is 0.50 m? V = 1/3(pi)(r^2)h I got 3/pie, is that

43. ## calculus

A truck starts dumping sand at the rate of 17 ft^3/ min, forming a pile in the shape of a cone. The height of the pile is always 2/3 the base diameter.

44. ## calculus

A truck starts dumping sand at the rate of 17 ft^3/ min, forming a pile in the shape of a cone. The height of the pile is always 2/3 the base diameter. After 6 minutes, what is the height of the pile? After 6 minutes, how fast is the height increasing?

45. ## CALCULUS

A pile of sand in the shape of a cone whose base diameter is 4 times its height is being built up at 12 pi m3/min. How fast is the height of the pile increasing 3 min after the pouring begins.

46. ## Calculus

1.Consider the function f(x)= (3/4)x4 - x3 - 3x2 +6x A. Find the relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values. B. Determine the interval(s) where f(x) is

47. ## calc

Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 21 ft high?

48. ## physics

a pile drive has a 413 kg block that is lifted 1.4m and then dropped onto the pile being driven into the ground. suppose that it takes 24ms to stop when it hits the pile. what is the average force exerted on the pile by the pile driver?

49. ## calc 1

Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 14

50. ## Calculus

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when

51. ## calculus

please help if you can At a sand & gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the

52. ## Calculus

A storage tank used to hold sand is leaking. The sand forms a conical pile whose height is twice the radius of the base. The radius of the pile increases at the rate of 2 inches per minute. Find the rate of change of volume when the radius is 5 inches.

53. ## Timerate problem(calculus)

Sand is being dropped at the rate 10 metercube/min onto a conical pile. If the height of the pile is always twice the base radius, at what rate is the increasing when the pile is 8 m high?

54. ## AB Calculus

I figured out that part "A" is -3/8, but i can't figure out part 2, a or b. please explain and help. thanks. Sand is falling from a rectangular box container whose base measures 40 inches by 20 inches at a constant rate of 300 cubic inches per minute. a)

55. ## Time rates

sand is being dragged at the rate of 10m^3/min into a conical pile. if the height of the pile is always twice the base radius, at what rate is the height increasing when the pile is 2m high?

56. ## CALCULUS

Sand is being poured from a converyer belt forming a conical pile whose base diameter is eual to its height at all times. If the base diameter is inreasing at 2 m/min when the base is 2 m wide. How fast is the sand being poured onto the pile?

57. ## Calculus I

Sand falls from a hopper into a conical pile with radius equal to half its height. The sand is poured at a rate of 3 m^3 each minute. How fast is the radius increasing after 10 minutes? Need help with the set up and work through of the problem.

58. ## Calculus: free body diagram--PLZ HELP!=)

Grain is being poured through a chute at a rate of 8 cubic feet per minute and forms a conical pile. The radius of the bottom of the pile is always half of the heightof the pile. How fast is the circumference of the base increasing when the pile is 10 feet

59. ## calculus

At a quarry, sand is filling off a conveyor onto a conical pile at a rate of 15 cubic feet per minute. The diameter of the base of the cone is four times the height. At what rate is the height of the pile changing when the pile is 12 feet high?

60. ## math

a sand pile in a shape of an upside-down cone has a volume of 350 m2 . The diameter of the base pof the pile is 7m. what is the height of the sand pile?

61. ## AP Calculus

Wheat is poured through a chute at the rate of and falls in a conical pile whose bottom radius is always half the altitude. How fast will the circumference of the base be increasing when the pile is 8 ft high?

62. ## Calculas

sand is poured from a conveyer belt onto pile at the rate of 36pi m^3/min. The ratio of the radius to height of the circular conical pile is 2:3. How fast is the height increasing 8 min after pouring began?

63. ## math

San falls from a conveyor belt at the rate of 10 m^3/min onto the top of a conical pile. The height of the pile is always three-eighths of the base diameter. How fast are (a) height and (b) radius changing when the pile is 4 m height? Answer in cm/min.

64. ## calculus

Q#1: From a point of O, two cars leave at the same time. One car travels west and after ‘t’ sec, its position is x=t2+t ft. the other car travels north and it covers y= t2+3t ft in ‘t’ sec. At what rate is the distance between the two cars changing

65. ## Calculus

It would be so helpful if someone could check my answers! A machine starts dumping sand at the rate of 20 m3/min, forming a pile in the shape of a cone. The height of the pile is always twice the length of the base diameter. The volume formula for a right

66. ## Calculus rate of change

A machine starts dumping sand at the rate of 20 m3/min, forming a pile in the shape of a cone. The height of the pile is always twice the length of the base diameter. After 5 minutes, how fast is the base area of the base increasing? I honestly have no

67. ## CULCULS

CEMENT IS POURED SO THAT IT CONTINUOUSLY FORMS A CONICAL PILE,THE HEIGHT OF W/H IS TWICE THE RADIUS OF THE BASE,IF THE CEMENT IS BEING POURED AT THE RATE OF 12 CUBIC FEET PER SECOND ,HOW FAST IS THE HEIGHT OF THE PILE CHANGING WHEN IT IS 4 FEET HEIGH?

68. ## Math

At a certain construction site, there is a pile containing 55 tons of sand. Four trucks, each of which holds 11.4 tons of sand, are filled from this pile. How many tons of sand remain in the pile? A. 9.4 B. 16.2 C. 20.8 D. 32.2 E. 43.6

69. ## Calculus Help

The County Roads Department is stockpiling salt for use next winter. The salt is being unloaded from railroad cars by a conveyor belt at a rate of 20 cubic feet per minute. The salt falls into a conical pile whose diameter at the base is four times the

70. ## Calculus

How would I find out what the height of the pile would be after 5 minutes? A machine starts dumping sand at the rate of 20 m3/min, forming a pile in the shape of a cone. The height of the pile is always twice the length of the base diameter. The volume

71. ## Mathmatics

A pile of sand that is stockpiled for winter road treatment is in the shape of a perfect cone. The beginning diameter is 110ft and the height at the center is 24ft. Assume wet sand weighs 3400 lbm/yd3. a) How many cubic yards of sand are in the pile? b)

72. ## Calculus

Gravel is being dumped from a conveyor belt at a rate of 15 ft^3/hr and its courseness is such that is forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the

73. ## Calculus

Gravel is being dumped from a conveyor belt at a rate of 15 ft^3/hr and its coarseness is such that is forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the

74. ## calc

Gravel is being dumped from a conveyor belt at a rate of 15 ft^3/hr and its coarseness is such that is forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the

75. ## Math

Doug hop must shovel a pile containing 50 ft squared of sand into a dump truck. With each scoop, he decreases the size of the pile by 16 ft squad. Let x be the of scoop he has shoveled. How much sand is left after 100 scoops? I know the expressionbid 50 -

76. ## math

A pile of coal is stored in a barrel-shaped bin whose base has a radius of 3 meters. The height of the pile measures 1.5 meters. What volume of coal is in the pile (to the nearest hundredth)?

77. ## calculus

Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 24

78. ## calculus

Gravel is being dumped from a conveyor belt at a rate of cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile

Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 24

80. ## Calculus

Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 18 feet

81. ## Math

Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 11 feet

82. ## calculus

Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the

83. ## Calculus

Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the

84. ## Calculus (Math 2A)

Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 19

85. ## calculus word problem

a conveyor belt pours gravel into a pile at a rate of 20 lbs per minue. the pile is shaped like an upside-down cone. the proportions of the cone are such that when the pile is complete, the diameter of the base is 6 ft and the height is 10 feet. how fast

86. ## math

Craig made a cylinder-shaped sand candle.The radius of it base is 4 cm, its height is 18 cm.How many cubic centimeters of sand did he use?

87. ## Math

A pile of gravel is conical in shape. If the diameter is approximately 6.8m and the height is 2.8m, what is the volume of gravel in the pile?

88. ## Pre-Calc

a conveyor makes a conical pile of mulch which has a height that is 2/3 of the diameter The conveyor can deliver 10 cubic yards of mulch to the pile per minute. What is the function for the height of the pile as a function of time

89. ## Math

A solid S is made up of a cylindrical part and conical part. The height of the Soild is 4.5m. The common radius of the cylindrical part and the conical part is 0.9m. The height of the conical part is 1.4m. c. A square base pillar offside 1.6m has the same

90. ## Calc

Gravel is being dumped from a conveyor belt at a rate of 20 {\rm ft}^3{\rm /min}. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 18 ft

91. ## Physics

A meteor has a speed of 90.0 m/s when 900 km above the Earth. It is falling vertically (ignore air resistance) and strikes a bed of sand in which it is brought to rest in 3.19 m. (a) What is its speed before striking the sand? (b) How much work does the

92. ## gscc

Sands falls off a conveyor belt onto the ground at a steady rate of 200cm^3 per second forming a conical pile whose height always equal to half the diameter of the base, at what rate is the height increasing after 10 second

93. ## Calculus 1

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 7 ft

94. ## mathematics

an action hero needs to replace a valuable artifact with a pile of sand of equal mass within 5 seconds, otherwise a trapdoor opens and she falls into a pit of slimy slugs. The artifact and two of its measurements are shown in the following image -

95. ## mathematics

an action hero needs to replace a valuable artifact with a pile of sand of equal mass within 5 seconds, otherwise a trapdoor opens and she falls into a pit of slimy slugs. The artifact and two of its measurements are shown in the following image dimensions

96. ## science

Trisha poured some water over a pile of sand. Some of the sand washed away. This process is similar to which of the following? a.the eruption of volcano. b.the erosion of the walls of a canyon. c.the uplifting of mountain ranges. c.the forming of dunes or

97. ## physics.

: When the mass hits the pile, it has kinetic energy. This energy is transformed into other forms of energy as the speed of the falling mass rapidly reduces to zero. As this happens, the pile is forced a small distance into the ground. question: Explain

98. ## calc

Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 18

99. ## calculus

Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the