# 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

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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

Water is pouring into a conical vessel 15cm deep and having a radius of 3.75cm across the top. If the rate at which the water rises is 2cm/sec, how fast is the water flowing into the conical vessel when the water is 4cm deep?

4. ## 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

5. ## 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

6. ## 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

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. ## 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?

9. ## 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?

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

12. ## 12th grade

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. ## Physics

A body of mass 2kg falls freely from rest through a height of 50m and comes to rest having penetrated 5.0cm of sand. Calculate. (I) The velocity with which the ball hits the sand. (II) The time taken in falling. (III) The average force exerted by the sand

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. ## 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

17. ## 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?

18. ## 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

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. ## 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?

21. ## 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?

22. ## 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

23. ## 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

24. ## 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?

25. ## 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.

26. ## 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

27. ## 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?

28. ## 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

29. ## 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?

30. ## 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

31. ## 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?

32. ## 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?

33. ## Physics

body of mass 2kg falls freely from rest through a height of 50m and comes to rest having penetrated 5.0cm of sand. Calculate. (I) The velocity with which the ball hits the sand. (II) The time taken in falling. (III) The average force exerted by the sand in

34. ## 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?

35. ## 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

36. ## 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

37. ## 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.

38. ## Physics

How would i solve this? A 10.0 kg ball falling at 10.0 m/s hits a pile of feathers and comes to a complete stop in 10 s. What force does the pile of feathers exert to stop the ball? 10 N 20 N 100 N 200 N

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. ## 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?

45. ## 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?

46. ## 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

47. ## calculus

The length l of a rectangle is decrasing at a rate of 5 cm/sec while the width w is increasing at a rate of 2 cm/sec. When l = 15 cm and w = 7 cm, find the following rates of change: The rate of change of the area: Answer = cm^2/sec. The rate of change of

48. ## 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?

49. ## 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

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

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

52. ## 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?

53. ## 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?

54. ## 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.

55. ## 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)

56. ## 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?

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. ## 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?

59. ## 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?

60. ## 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

61. ## 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?

62. ## 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

63. ## 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

64. ## 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?

65. ## 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.

66. ## 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

67. ## 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)

68. ## 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 -

69. ## Calculus

Sand is being dumped from a conveyor belt at a rate of 20 cubic ft/min into a pile the shape of an inverted come whose diameter and height are always the same. (a) Find the rate of increase of the height when the pile is 10ft high. This is a 2 part

70. ## 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

71. ## 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?

72. ## 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

73. ## 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

74. ## 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?

75. ## 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

76. ## 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

77. ## 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

78. ## 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 -

79. ## 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

80. ## 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

81. ## 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

82. ## 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.

83. ## 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

84. ## 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

85. ## 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

86. ## 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

87. ## Physics

Suppose the 480 lb pile driver that drops 20 ft drives the pile 2 in. every time it strikes the pile. What is the average resisting force of the ground where the pile is driven?

88. ## 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

89. ## 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

90. ## 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 to each other. How fast is the height of the pile increasing when the

91. ## 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

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 to each other. How fast is the height of the pile increasing when the

93. ## Calculus

A chemical substance is draining from a conical filtering system at a rate of 100 cubic centimeters per minute into a cylindrical storage tank below. The conical filter and cylindrical tank each have a diameter of 60 centimeters, and the height of the cone

94. ## Physics

If you throw a ball through a pile of sand, it will slow down in the sand and emerge at less that its initial speed. But when light shines on a pane of glass, even though it slows down inside, its speed upon emerging is the same as its initial speed.

95. ## physics

if you fire a ball through a pile of sand, it iwll slow ddown in the sand and emerge at less that its initial speed. But when light shines pn a pane of glass, even though it slows down inside, its speed upon emerging is the same as its initial speed.

96. ## Multi Cultural Psychology

Joan put her hand out and in it was placed a pile of sand. Then tiny amounts of sand were added to her hand and when asked to tell when she noticed any change in the overall weight she demonstrated what as soon as she detected any change in the weight? A.

97. ## Physics

Suppose the 480 lbs pile driver that drops 20 ft drives the pile 2.0 in. every time it strikes the pile. What is the average resisting force of the ground where the pile is driven? Answer: 57,600 lbs Show Work

98. ## Physics

Suppose the 480 lbs pile driver that drops 20 ft drives the pile 2.0 in. every time it strikes the pile. What is the average resisting force of the ground where the pile is driven? Answer: 57,600 lbs Show Work

99. ## math

The upper chamber of an hour-glass is a cone of radius 3 inches and height 10 inches and, if full, it requires exactly one hour to empty. Assuming that the sand falls through the aperture at a constant rate, how fast is the level falling when: a) the depth

100. ## math

The upper chamber of an hour-glass is a cone of radius 3 inches and height 10 inches and, if full, it requires exactly one hour to empty. Assuming that the sand falls through the aperture at a constant rate, how fast is the level falling when: a) the depth