# A conical tank of radius R=19 feet and height of H=16 feet is being filled with water at a rate of 9ft 3 /min . (a) Express the height h of the water in the tank, in feet, as a

38,760 results
1. ## Calculus

Water is running into an open conical tank at the rate of 9 cubic feet per minute. The tank is standing inverted, and has a height of 10 feet and a base diameter of 10 feet. At what rate is the radius of the water in the tank increasing when the radius is

2. ## Math

The ramp shown below is used to move crates of apples to loading docks at different heights. When the horizontal distance AB is 12 feet, the height of the loading dock, BC, is 6 feet. What is the height of the loading dock DE? 10 feet 12 feet 17 feet*** 18

3. ## Math

A fuel oil tank is an upright cylinder, buried so that its circular top 12 feet beneath ground level. The tank has a radius of 6 feet and is 18 feet high, although the current oil level is only 13 feet deep. Calculate the work required to pump all of the

4. ## calculus

A conical water tank with vertex down has a radius of 12 feet at the top and is 23 feet high. If water flows into the tank at a rate of 20 {\rm ft}^3{\rm /min}, how fast is the depth of the water increasing when the water is 17 feet deep?

5. ## Math

A conical water tank with vertex down has a radius of 10 feet at the top and is 22 feet high. If water flows into the tank at a rate of 30 {\rm ft}^3{\rm /min}, how fast is the depth of the water increasing when the water is 14 feet deep? I have tried

6. ## AP calculus

The base of a cone-shaped tank is a circle of radius 5 feet, and the vertex of the cone is 12 feet above the base. The tank is being filled at a rate of 3 cubic feet per minute. Find the rate of change of the depth of water in the tank when then depth is 7

7. ## math - calc

A conical water tank with vertex down has a radius of 12 feet at the top and is 26 feet high. If water flows into the tank at a rate of 30 {\rm ft}^3{\rm /min}, how fast is the depth of the water increasing when the water is 12 feet deep?

8. ## math

A conical water tank with vertex down has a radius of 13 feet at the top and is 28 feet high. If water flows into the tank at a rate of 10 {\rm ft}^3{\rm /min}, how fast is the depth of the water increasing when the water is 17 feet deep?

9. ## Math

The base of a pyramid-shaped tank is a square with sides of length 12 feet, and the vertex of the pyramid is 10 feet above the base. The tank is filled to a depth of 4 feet, and water is flowing into the tank at the rate of 2 cubic feet per minute. Find

10. ## cal

A conical tank (with vertex down) is 12 feet across the top and 18 feet deep. If water is flowing into the tank at a rate of 18 cubic feet per minute, find the rate of change of the depth of the water when the water is 10 feet deep. I got 81/200pi ft/min.

11. ## calculus

1. A conical reservoir has a depth of 24 feet and a circular top of radius 12 feet. It is being filled so that the depth of water is increasing at a constant rate of 4 feet per hour. Determine the rate in cubic feet per hour at which water is entering the

12. ## MATH MATH MATH MATH

The ramp shown below is used to move crates of oranges to loading docks at diffrent heights. When the horizontal distance ab is 15 feet the height of the loading dock, bc ,is 3 feet. What is the height? A) 5 feet B) 8 feet C) 9 feet D) 25 feet

13. ## Please check my calculus

A conical tank has a height that is always 3 times its radius. If water is leaving the tank at the rate of 50 cubic feet per minute, how fast if the water level falling in feet per minute when the water is 3 feet high? Volume of a cone is V=1/3(pi)r^2h A.

14. ## college algebra

A propane tank has the shape of a circular cylinder with a hemisphere at each end. The cylinder is 6 feet long and volume of the tank is 5pie cubic feet. Find, to the nearest thousandth of a foot the length of the radius x.

15. ## Solid Mensuration

A closed cylindrical container 10 feet in height and 4 feet in diameter contains water with depth of 3 feet and 5 inches. What would be the level of the water when the tank is lying in horizontal position?

16. ## Calculus

Water is running into an open conical tank at the rate of 9 cubic feet per minute. The tank is standing inverted, and has a height of 10 feet and a base diameter of 10 feet. At what rate is the exposed surface area of the water changing when the radius is

17. ## ymous

You're standing 14 feet from the edge of a cylindrical water tank and is 26 feet from the point of tangency. the tank is 10 feet tall. what is the volume in cubic feet

18. ## Calculus II

A spherical tank with radius of 5 feet is set on a coloumn 15 feet above the ground. How much work is required to fill the tank with water if the solution is pumped from ground level?

19. ## geometry

A grain storage tank is in the shape of a cylinder covered by half a sphere. The height of the cylinder is 50 feet and its diameter is 80 feet. find the total surface area (including the base) and volume of the tank.

20. ## math

A cylindrical tank has a radius of 15 ft. and a height of 45 ft. How many cubic feet of water can the tank hold?

21. ## geometry

The cylindrical storage tank has a height of 12 feet.Which of the following expressions could be used to find the volume of the tank in cubic feet?

22. ## calculus

A conical water tank with vertex down has a radius of 12 feet at the top and is 28 feet high. If water flows into the tank at a rate of 30 ft^3/min, how fast is the depth of the water increasing when the water is 16 feet deep?

rectangular prism: height 7 feet, width 4 feet and length 3 feet Find the volume Cylinder: radius 3.5 feet and height 7 feet Find the volume Van cargo space measures 8 feet tall by 5 feet wide by 13 feet deep. find the volume instruments will take up about

24. ## Math help me please

A tree's root is 13 feet below ground and spans a radius of 8 feet. If the tree's elevation above ground is 28 feet with branches that span a radius of 12 feet, what is the total length of the tree from root tip to top? A) 15 feet B) 35 feet C) 41 feet D)

25. ## Math

An oil tank is the shape of an inverted right circular cone with the pointed end down. The tank is 15 feet tall and is 12 feet in diameter at the top. At 1:00pm, the tank has oil 5 feet deep in it. Oil is pouring in at 5 cubic feet per minute. To the

An inverted conical tank (with vertex down) is 14 feet across the top and 24 feet deep. If water is flowing in at a rate of 12 ft3/min, find the rate of change of the depth of the water when the water is 10 feet deep.

27. ## Geometry

A cylindrical water tank has a diameter of 20 feet and a height of 15 feet. How much water is needed to fill the tank?

28. ## math - calculus help!

An inverted conical tank (with vertex down) is 14 feet across the top and 24 feet deep. If water is flowing in at a rate of 12 ft3/min, find the rate of change of the depth of the water when the water is 10 feet deep. 0.229 ft/min 0.449 ft/min 0.669 ft/min

29. ## related rates problems

Water pours out of a conical tank of height 10 feet and radius 4 feet at a rate of 10 cubic feet per minute. How fast is the water level changing when it is 5 feet high?

30. ## Math

A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 10 , how fast is the depth of the water increasing when the water is 17 feet deep?

31. ## calculus

Water is flowing freely from the bottom of a conical tank which is 12 feet deep and 6 feet in radius at the top. If the water is flowing at a rate of 2 cubic feet per hour, at what rate is the depth of the water in the tank going down when the depth is 3

32. ## MATH

The volume of a cylinder with a radius of 2 feet and a height of 4 feet is 50.2 feet^3. The volume of a cylinder with a radius of 4 feet and a height of 8 feet is 401.9 feet^3. The volume of a cylinder with a radius of 6 feet and a height of 12 feet is

33. ## Differential Calculus

A conical tank with height is 10 and radius is 5 is being filled with water at 4m^3/s. Solve how fast is the water when = 3m

34. ## AP calculus AB

Water pours out of a conical tank of height 10 feet and radius 4 feet at a rate of 10 cubic feet per minute. How fast is the water level changing when it is 5 feet high?

35. ## Math

Find the work done in pumping the water over the rim of a tank that is 40 feet long and has a semicircular end of radius 10 feet if the tank is filled to a depth of 4 feet

36. ## CALCULUS

Water is draining from a small cylindrical tank into a larger one below it. The small cylindrical tank has a radius of 4 feet and a height of 6 feet; the large cylindrical tank has a radius of 8 feet and a height of 16 feet. The small tank is initially

37. ## Calculus (Definite Integrals - Work)

Recall that work is defined to be force times distance, and that the weight (force) of a liquid is equal to its volume times its density. A fish tank has a rectangular base of width 2 feet and length 6 feet and sides of height 5 feet. If the tank is filled

38. ## math

A right circular conical tank, point down, with top radius of R and height H is fully filled with a liquid whose weight-density, d, depends on its depth from its surface as d(z) = az + b, where a and b are constant. What is the weight of the liquid in the

39. ## mathFormula

Formula for calculating cubic feet. length(in feet) x width(in feet) x height(in feet) = volume in cubic feet. Thank you DrBob That's for a cube or four sided regular figures. For a cylinder, it's pi*(radius2)*height and there are other formulas for other

40. ## math

the dimensions of a rectangular prism are height 7 feet, width 4 feet and length 3 feet find the surface area part 2: dimensions of the cylinder are height 7 feet and radius 3.5 feet solve with a decimal then round to the nearest half foot. part 3 you have

41. ## Calculus

I really need help with this problem. A conical vessel is 12 feet across the top and 15 feet deep. If it contains a liquid weighing p lbs/ft^3 (p=62.5 lbs/ft^3)to a depth of 10 feet. Find the work done in pumping the liquid to a height of 3 feet above the

42. ## Math-How do I do this problem?

An inverted conical tank (with vertex down) is 14 feet across the top and 24 feet deep. If water is flowing in at a rate of 12 ft3/min, find the rate of change of the depth of the water when the water is 10 feet deep.

43. ## math

A trough is 11 feet long and has ends that are isosceles triangles that are 1 foot high and 2 feet wide. If the trough is being filled at a rate of 9 cubic feet per minute, how fast is the height of the water increaseing when the height is 7 inches?

44. ## math

A cylindrical tank is lying horizontally on the ground, its diameter is 16 feet, its length is 25 feet, the depth of the water in the tank is 5 feet. How many gallons of water are in the tank? How many more gallons of water will it take to fill in the

45. ## Algebra!!

1.a swimming pool has a radius of 10 feet and a height of 4 feet. What is the volume? 2.What is the volume of a soup can with a radius of 4cm and a height of 16cm? 3.What is the volume of a triangular prism with a length of 10cm a width of 15cm and a

46. ## math

Suppose we pump water into an inverted right-circular cone tank at the rate of 6 cubic feet per minute. The tank has the height 9 ft and radius on the top is 8 ft. What is the rate at which the water level is rising when the water is 3 ft deep? Leave the

47. ## Math

A cylindrical storage tank has a height of 100 feet and a diameter of 10 feet. (Use pi = 3.14) What is the lateral surface area of the tank? How do i find lateral surface area of the tank What is the volume? 7850 cubic feet What is the volume in gallons of

48. ## Pre-calculas

A conical tank of radius R=19 feet and height of H=16 feet is being filled with water at a rate of 9ft 3 /min . (a) Express the height h of the water in the tank, in feet, as a function of time t in minutes

49. ## Calculus

A conical tank has a height that is always 3 times its radius. If water is leaving the tank at the rate of 50 cubic feet per minute, how fast if the water level falling in feet per minute when the water is 3 feet high? Volume of a cone is V=1/3(pi)r^2h A.

50. ## Calculus AB

Water pours at a constant rate into a conical tank of height 10 feet and radius 4 feet. Let V, h and r be the volume, height, and radius if the water in the tank at a particular time t. Express the volume of the water in the tank at any time t as a

51. ## Math

A conical water tank with vertex down has a radius of 10 feet at the top and is 22 feet high. If water flows into the tank at a rate of 30 {\rm ft}^3{\rm /min}, how fast is the depth of the water increasing when the water is 14 feet deep? I have tried

52. ## Calculus (math)

A conical water tank with vertex down has a radius of 12 feet at the top and is 23 feet high. If water flows into the tank at a rate of 20 {\rm ft}^3{\rm /min}, how fast is the depth of the water increasing when the water is 12 feet deep?

53. ## math - calc

A conical water tank with vertex down has a radius of 12 feet at the top and is 26 feet high. If water flows into the tank at a rate of 30 {\rm ft}^3{\rm /min}, how fast is the depth of the water increasing when the water is 12 feet deep?

54. ## Calculus

A conical water tank with vertex down has a radius of 13 feet at the top and is 27 feet high. If water flows into the tank at a rate of 30 ft^3/min, how fast is the depth of the water increasing when the water is 17 feet deep?

55. ## calculus

A conical tank( with vertex down) is 10 feet across the top and 18 feet deep. As the water flows into the tank, the change is the radius of the water at a rate of 2 feet per minute, find the rate of change of the volume of the water when the radius of the

56. ## math

A tank on a road roller is filled with water to make the roller heavy. The tank is a cylinder that has a height of 6 feet and a radius of 2 feet. One cubic foot of water weighs 62.5 pounds. Find the weight of the water in the tank.

57. ## College Math

a conical tank is 15 feet deep and has an open top whose radius is 15 feet. Assume that starting at t = 0 water is added to the tank at a rate of pi ft^3/hr, and water evaporates from the tank at a rate proportional to the suface area with the constant of

58. ## Calculus

A cylindrical water tank has a radius of 2 feet and a height of 6.0 feet. Compute the work done to pump the water out of a filled tank through the top. [The density of water is 62.4 lbs/ft3.]

59. ## Calculus

Water is draining from a small cylindrical tank into a larger one below it. The small cylindrical tank has a radius of 4 feet and a height of 6 feet; the large cylindrical tank has a radius of 8 feet and a height of 16 feet. The small tank is initially

60. ## Calculus

Water is draining at a rate of 2 cubic feet per minute from the bottom of a conically shaped storage tank of overall height 6 feet and radius 2 feet . How fast is the height of water in the tank changing when 8 cubic feet of water remain the the tank?

61. ## Math

Still need help with this one: Find the work done in pumping the water over the rim of a tank that is 40 feet long and has a semicircular end of radius 10 feet if the tank is filled to a depth of 4 feet. I've set up an integral that is: 62.4 ∫ [-10,-4]

62. ## math

Length is 6 feet and breath is 5 feet and height is 5 feet find the volume of the water filled in the tank

63. ## math

Length is 6 feet and breath is 5 feet and height is 5 feet find how many litres of water can be filled on the tank

64. ## geometry

how much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet? is it 33912 cubic feet? or perhaps 2260.8 cubic feet?

65. ## Calculus

A water tank is shaped like an inverted right circular cone with a base radius of 14 feet and a height of 25 feet high. If water flows into the tank at a rate of 20 ft^3/min, how fast is the depth of the water increasing when the water is 18 feet deep?

66. ## Geometry

A sandpit in the shape of a rectangular prism has length 7 feet, width 5 feet, and height 1.75 feet. It is filled to the brim with sand. Joe puts this sand into a second sandpit having the same shape but a larger base. He needs 17.5 cubic feet of sand to

67. ## geometry

A sandpit in the shape of a rectangular prism has length 7 feet, width 5 feet, and height 1.75 feet. It is filled to the brim with sand. Joe puts this sand into a second sandpit having the same shape but a larger base. He needs 17.5 cubic feet of sand to

68. ## Algebra

a cylindrical water tank has a volume of 20π cubic feet . the height of the tank is 1 foot more than 2 times of its radius . find the radius and height of the tank

69. ## calculus-rate problem

A conical tank (with vertex down) is 10 feet acros the top and 12 feet deep. If water is flowing into the tank at a rate of 10 cubic feet per minute, find the rate of change of the depth of the water when the water is 8 feet deep.

70. ## Math

A conical tank (with its vertex down) is 8 feet tall and 6 feet across its diameter. If water is flowing into the tank at the rate of 2 feet3/min, find the rate at which the water level is rising at the instant when the water depth is 2.5 feet.

71. ## math

A fish tank 1 feet x 1 1/2 feet x 1/2 feet is carefully used to fill a large tank which has a capacity of 15 cubic feet. How many times will the contents of the smaller tank be rquired to be emptied into the larger tank to completely fill the tank? a. 8 b.

72. ## algebra

You are standing 14 feet from the edge of a cylindrical water tank and 26 feet from a point of tangency. The tank is 10 feet tall. What is the volume of the tank in cubic feet?

73. ## math

An oil storage tank is 50 feet across and 40 feet high and filled with oil to a depth of 10 feet. How many cubic feet of oil is in the tank?

74. ## Calculus

a water tank is created by revolving the graph y=1/x about the y-axis, with the bottom of the tank at y=1. the volume of the tank is given by [v(h) = the integral from 1 to h of (pi/y^2)dy] where h is the height of the water in the tank. Initially, the

75. ## math

We did not find results for: a conical tank with its vertex down is 12 feet high and 12 feet in diameter at the top. water is being pumped in at the rate of 8 feet cubed per minute. find the rate at which the water level is rising when the water is 4 feet

76. ## Algebra

Wanda has a fishtank that is 2 feet long, 3 feet wide, 4 feet high. If she pours 20 cubic feet (feet3=ft3) what it the height of the water level in the tank? Round answers to the nearest hundredth

77. ## Calculus

A conical vessel is 12 feet across the top and 15 feet deep. If it contains a liquid weighing ñ lbs/ft^3 to a depth of 10 feet. Find the work done in pumping the liquid to a height of 3 feet above the vessel.

78. ## MATH WORD PROBLEM HELP PLEASE

A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank?

79. ## Math

The empty gas tank of the truck needs to be completely filled. The tank is shaped like a cylinder that is 4 feet long with a diameter of 2.4 feet. Suppose gas is poured into the tank at a rate of 1.7 thirds of a foot per minute. How many minutes does it

80. ## 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?

81. ## Surface area - math

A cylindrical water tank is located on level ground. The tank has a height of 49 feet and a diameter of 42 feet. If one gallon of paint covers 350 square​ feet, how many gallons of paint are required to paint the water​ tank? i tried: 2π⋅21⋅49 +

82. ## math

(1)How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet. (2)The diameter of a frisbee is 12 inches, what is the area of the frisbee

83. ## Math

A tank in the shape of a cone has a diameter of 8 feet and a height of 10 feet.when there is water in the tank, th water is in the shape of a cone too. find the radius of the cone of water when the water is 2 feet high. Explain how you would solve it.

84. ## Math

How many liters of water will come in a cylinder shape tank which height is 5 feet length is 10 feet width is 6 feet?

85. ## Algebra

Wanda has a fishtank that is 2 feet long, 3 feet wide, 4 feet high. If she pours 20 cubic feet (feet3=ft3) what it the height of the water level in the tank? Round answers to the nearest hundredth.I think it is 480 feet3

86. ## geometry

you want to estimate the radius of the towns circular water tank. you stand at point c, about 6 feet from the circular tank. the distance from you to a point of tangency on the tank is about 10 feet. estimate the radius of the tank

87. ## calc 2

A spherical tank of radius a feet is buried in the ground. The top of the tank lies b feet below the surface of the ground.(δ=64lbs/ft^3)Find a definite integral whose value equals total work done in emptying the tank through a pipe whose opening is at

88. ## calculus

A trough is 6 feet long and has ends that are isosceles triangles that are 1 foot high and 3.5 feet wide. If the trough is being filled at a rate of 9 cubic feet per minute, how fast is the height of the water increaseing when the height is 5 inches?

89. ## Calculus

You have a conical tank, vertex down, which is 12 feet across the top and 18 feet deep. If water flows in at a rate of 9 cubic feet per minute, find the exact rate of change when the water is 6 feet deep. You know the rate of dV/dt (inflow), and you can

90. ## Calculus 2

Calculus 2. Tom and Mike have a bet as to who will do the most work today. Mike has to compress a coil 200 feet. It takes Mike 250 lbs to compress the coil 10 feet. Tom needs to pump water through the top of a cylindrical tank sitting on the ground. The

91. ## math

If a swimming pool that has a diameter of 40 feet and a height of 5 feet can be filled in 50 minutes, how long will it take to fill a pool that has a diameter of 36 feet and a height of 6 feet?

92. ## Calculus

Water is leaking from the bottom of a tank in the shape of an inverted cone having an altitude of 12 feet and a radius of 2 feet. If the water is leaking at the rate of 0.25 cubic feet per minute, how fast is the water level decreasing when the water is 4

93. ## math

A round tank hold 550 gallons filled to the brim. Its capacity is 10 gallons for every inch in height. How high is the tank in inches, in feet. How high would you fill it get to the 170 gallon level?

94. ## Math

a steel drum has a base with a radius of 2 feet and a height of 4 feet. What is its volume in cubic feet?

95. ## Math

a steel drum has a base with a radius of 2 feet and a height of 4 feet. What is its volume in cubic feet?

96. ## Math

Cooling towers for nuclear reactors are often constructed as hyperboloids of one sheet because of the structural stability of that surface. Suppose all horizontal cross sections are circular, with a minimum radius of 200 feet occurring at a height of 600

97. ## Math

A balloon filled with helium is released from a height of 6 feet. The balloon rises at a constant rate of 3 feet per second. Which equation represents the height of the balloon (y), x seconds after it was released. y = 3x + 6 y = 6x + 3 x = 3y + 6 x = 6y +

98. ## Math

Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If the pen costs$1 per square foot, what is the biggest pen (in terms of the radius) that she can afford? Round your answer to the

99. ## math

A conical tent made of canvas has a base that is 26 feet across and a slant height of 14 feet. To the nearest whole unit, what is the area of the canvas, including the floor? Use 3.14 for p.

100. ## Math

A cylindrical storage tank has a height of 100 feet and a diameter of 10 feet. (Use pi = 3.14) What is the lateral surface area of the tank? How do i find lateral surface area of the tank What is the volume? 7850 cubic feet What is the volume in gallons of