# Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. xy = 2, x = 0, y = 2, y = 4

114,831 results
1. ## Calculus

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. x = 7y^2, y ≥ 0, x = 7; about y = 2

2. ## calculus2

Use cylindrical shells to find the volume V of the solid. A sphere of radius r

3. ## Calculus

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y= 2e^(−x), y= 2, x= 6; about y = 4. How exactly do you set up the integral? I know that I am supposed to use the washer method but I

4. ## calculus2

Use cylindrical shells to find the volume V of the solid. A right circular cone with height 9h and base radius 5r. The answer is 75πhr^2 but my answer is 39πhr^2. How???

5. ## Calculus

a) Find the volume formed by rotating the region enclosed by x = 6y and y^3 = x with y greater than, equal to 0 about the y-axis. b) Find the volume of the solid obtained by rotating the region bounded by y = 4x^2, x = 1, and y = 0 about the x-axis. c)

6. ## AP calc

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 8x − x^2, y = 12; about x = 2

7. ## calculus

1.Evaluate the integral. (Use C for the constant of integration.) integral ln(sqrtx)dx 2. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given axis. y = 4ex, y = 4e−x, x = 1;

8. ## calculus

1. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = ln(5x), y = 1, y = 3, x = 0; about the y-axis 2. Use the method of cylindrical shells to find the volume V generated by rotating the

9. ## calculus

Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 9 - 9x^2 , y = 0 Find the volume V of this solid. Sketch the region, the solid, and a typical disk or washer. Any help or tips would be greatly

10. ## Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1

11. ## Calculus II

Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. y = ln x, y = 4, y = 5, x = 0 Find the volume V of this solid. Help!!! Thank you in advance :(

12. ## Calculus

Find the volume of the solid obtained by rotating the region enclosed by y=x^3, y=25x, x ≥ 0

13. ## calculus

Find the volume of the solid obtained by rotating the region bounded by the curves y = x^8, y = 1 about the line y = 5.

14. ## Math

Find the volume of the solid obtained by rotating the region enclosed by y=x^2, y=6x about the line x=0using the method of disks or washers.

15. ## math

use the method of cylindrical shells to find the volume generated by rotation the region bounded by x=y^2+1, x=2, about y=-2. Sketch the region, the solid, and a typical shell. I know that for shells, its 2pix*f(x)*dx. i am having trouble figuring out what

16. ## calculus

Consider the solid obtained by rotating the region bounded by the given curves about the line x = 6. y = sqrt(x), y = x Find the volume V of this solid.

17. ## Calc

The volume of the solid obtained by rotating the region enclosed by y=e^(5x)+2 y=0 x=0 x=0.7 about the x-axis can be computed using the method of disks or washers via an integral A=? b=? V=?

18. ## cal

Find the volume of the solid obtained by rotating the region bounded by y=4x^2,x=1,y=0 about the x-axis.

19. ## Can no one help?!

1. Use cylindrical shells to compute the volume of the solid formed by revolving the region bounded by y= 2x and y = x^2 -3 about x= 6. 2. Find the volume of the solid formed by revolving the region bounded by y= e^x , y= e^-x, and y= 3 about y= 5. I'm

20. ## Math

The volume of the solid obtained by rotating the region bounded by y=e^x, y=Inx, x=1, and x=2 about the line y-axis can be computed using the method of cylindrical shells. Using the method of cylindrical shells find the volume.

21. ## Cal 2

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y=3/(1+x^2), y=0, x=0, and x=2 about the line x=4. Volume =

22. ## Calculus

This problem set is ridiculously hard. I know how to find the volume of a solid (integrate using the limits of integration), but these questions seem more advanced than usual. Please help and thanks in advance! 1. Find the volume of the solid formed by

23. ## Calculus ll - Volumes

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=e^(-x), y=1, x=2; about y=2.

24. ## calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x=-3 y=x^2, x=y^2

25. ## calculus

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. xy = 2, x = 0, y = 2, y = 4

26. ## Calculus

Use cylindrical shells to find the volume formed by rotating the region in the first quadrant enclosed by: y=1.2-1.4|x-12| and y=0 about the y-axis

27. ## calculus

The volume of the solid obtained by rotating the region enclosed by y=x^2 y=2x about the line x=2 can be computed using the method of disks or washers via an integral The volume is V

28. ## calculus

Find the volume of the solid obtained by rotating the region bounded by y=x and y=√x about the line x=2. Volume =

29. ## Physics (Mechanics)

A uniform plate of height H= 0.69 m is cut in the form of a parabolic section. The lower boundary of the plate is defined by: y= 1.10x^2. The plate has a mass of 5.62 kg. Find the moment of inertia of the plate about the y-axis. Alright, I've done this so

30. ## Calculus 2

use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. xy=1, x=0, y=1, y=3

31. ## Calculus

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the? Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8. 27y = x^3, y = 0,

32. ## calculus

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 4x − x2, y = 3; about x = 1

33. ## Calculus 2

use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y=x^(1/3), y=0, x=1

34. ## calculus

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. 27y = x3, y = 0, x = 6

35. ## AP calc

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 13 sqr.(x) y = 0, x = 1; about x = −3

36. ## calculus

The volume of the solid obtained by rotating the region enclosed by y=x^2 y=2x about the line x=2 can be computed using the method of disks or washers via an integral The volume is V

37. ## calculus edit

1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y is greater than or equal to 0 about the y-axis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis

38. ## calculus 2

Consider the solid obtained by rotating the region bounded by the given curves about the line x = -3. y = x^2 , x = y^2 Find the volume V of this solid. I keep finding the wrong answer.

39. ## K

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3e^(-x), y = 3, x = 2; about y = 6

40. ## Ap calc

Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. x + y = 3, x = 4 − (y − 1)^2

41. ## calculus 1

can you please help me, i'm really confused Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. y= 20sqrt y, x=0, y=1

42. ## calculus

The volume of the solid obtained by rotating the region enclosed by y=1/x^4 y=0 x=2 x=4 about the line x=−5 can be computed the method of cylindrical shells via an integral The volume is V

43. ## Calculus

Consider the region bounded by the curves y=e^x, y=-e^x, and x=1. Use the method of cylindrical shells to find the volume of the solid obtained by rotating this region about the y-axis.

44. ## Calculus

let V be volume of the solid obtained by rotating about the y-axis the region bounded by y=sqrtx and y=x^2. find V both by slicing and by cylindrical shells. in both cases, draw a diagram to explain your method. I'm SO stuck!

45. ## calculus

use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. sketch the region and a typical shell. x=1+y^2, x=0, y=1, y=2

46. ## Calculus (math)

The volume of the solid obtained by rotating the region enclosed by y=1/x4,y=0,x=1,x=6 about the line x=−2 can be computed using the method of cylindrical shells via an integral. it would be great if you can just even give me the function inside that I

47. ## Calculus

Find the volume of the solid by rotating the region bounded by the given curves about the x-axis. Use the method of cylindrical shells. y=4x^2 2x+y=6 I drew the picture and the intersection points are at x=-1.5 and x=1. I'm not sure how to identify the

48. ## math

find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. x=2=2sqrty, x=0, y=9 about the y axis. Is this the disk or shells method and how do I set this problem up?

49. ## Calculus 2

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 4. y = 3 x^4 y = 0 x = 2

50. ## Calculus 1

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y=8-x^2, y= x^2 ; about x=2 V=?

51. ## Math

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves x=y^(1/2), x=0, and y=4 about the x axis.

52. ## CALCULUS

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. Y = 3/X, Y = 0, X =5, X = 2

53. ## calculus

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = x3, y = 8, x = 0; about x = 9

54. ## Calculus 1

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y=8-x^2, y= x^2 ; about x=2 V=?

55. ## calculus

using the method of shells, set up, but don't evaluate the integral, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Y=e^x, x=0, y=2, about y=1

56. ## calculus

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. 27y = x3, y = 0, x = 6

57. ## Math calculus by rotation

Calculate the volume obtained by rotating around y= -3 the area between the curves x= y^2 -4 x+y+2=0 I did the Volume as an integral between (-4, 0) of (x^2 +x - 12 - 6(x+4) ^1/2) dx The method I used is seeing the solid as a washer(? Can someone help me

58. ## calculus

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. y=4/x, y=0, x=2, x=3 I know you have to integrate from 2 to 3 but im not sure what the integral should be

59. ## math-calculus 2

Consider the given curves to do the following. 64 y = x^3, y = 0, x = 4 Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 1.

60. ## Calculus

Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y = 0.5x^2 and y = x about the line x = 7. I have to use the volume by disks method, but I'm confused about how to set it up and

61. ## calculus

Set up the integral that would be used to find the volume of the solid obtained by rotating the region bounded by y=x^3 , y=8, and x=0 about the x=-4. use disk/washer method.

62. ## calculus

Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find the area of the region enclosed by the two curves; 2) Find the volume of the solid obtained by rotating the above region about the x-axis; 3) Find the volume of the solid obtained by

63. ## Calculus I don't understand

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 10 x and y = 5 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded by y=8 x^2, x = 1, and y = 0 , about

64. ## Calculus

Use cylindrical shells to find the volume formed by rotating the region in the first quadrant enclosed by: y=1.2-1.4|x-12| and y=0 about the y-axis

65. ## calulus

The volume of the solid obtained by rotating the region enclosed by y=x^2 y=2x about the line x=2 can be computed using the method of disks or washers via an integral The volume is V

66. ## Math

what is the volume of the solid obtained by rotating the region bounded by y=x^2, and y=5x about the line x=5 using the washer method and respect to dy?

67. ## CALCULUS MAJOR HELP!!!!!!

Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the x-axis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated

68. ## Calculus volume stuff

Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the x-axis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated

69. ## Calculus

I would like to know if my answers are correct: Disclaimer: We are allowed to keep our answers in formula form 1. Use the washer method to find the volume of the solid that is generated by rotating the plane region bounded by y=x^2 and y = 2-x^2 about the

70. ## Calculus

1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the y-axis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=18x-6x^2 , y=0 : about the

71. ## maths

Through cylindrical shells to find the volume of the solid generated by revolving the region enclosed by the graphs of y=e^x/2,y=1, x=ln3 about x axix

72. ## calculus

Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 6 x^6 , y = 6 x , x >= 0 Find the volume V of this solid.

73. ## calculus

Consider the solid obtained by rotating the region bounded by the given curves about the line x = 4. x= 4y^2 , x = 4 Find the volume V of this solid.

74. ## CALCULUS 2

Consider the solid obtained by rotating the region bounded by the given curves about the line x = 1. y = x, y = 0, x = 4, x = 6 Find the volume V of this solid

75. ## calculus

Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y=6x^5, y=6x, x>or equal to 0 Find the volume V of this solid.

76. ## calculus

Find the volume of the solid obtained by rotating the region bounded by y=x and y=x√ about the line x=2. Volume =

77. ## Calculus 2

Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(X), y=0, x=0, x=pi/2 about the line y=-1 Volume=?

78. ## Math Calculus 1

Have mercy! Find the volume of the solid obtained by rotating y=3+2x-x^2, x+y=3 about the y-axis.

79. ## calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^2 and x=y^2 about the x-axis.

80. ## Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis.

81. ## calculus

Find the volume of the solid obtained by rotating the region bounded by y=5x+25, y=0 about the y-axis.

82. ## Calculus

Find the volume of the solid obtained by rotating the region enclosed by y=x^3, y=25x, x ≥ 0

83. ## calculus

Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0 about the y-axis.

84. ## calculus

Find the volume of the solid obtained by rotating the region bounded by y=5x+25 and y=0 about the y-axis.

85. ## calculus

Find the volume of the solid obtained by rotating the region bounded by y=4x^2,x=1,y=0 about the x-axis.

86. ## Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis.

87. ## calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^3 and x= y^3 about the line x= -1.

88. ## Calculus

Find the volume of the solid obtained by rotating the region bounded by y=8x+24, y=0 about the y-axis.

89. ## Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1

90. ## calculus

Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0 about the y-axis.

91. ## cal

Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0 about the y-axis.

92. ## Calculus AB

Consider the region trapped between the graphs of y=9-x^2 and y=11-3x. a) find the area of this region b) set up an integral which computes the volume of the solid of rotation obtained by rotating this region about the x-axis c) set up an integral which

93. ## Calculus AB

Consider the region trapped between the graphs of y=9-x^2 and y=11-3x. a) find the area of this region b) set up an integral which computes the volume of the solid of rotation obtained by rotating this region about the x-axis c) set up an integral which

94. ## Calculus

Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=18-x, y=3x-6 and x=0 about the y-axis V=

95. ## Calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2,y=1; about y=7

96. ## calculus 2

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = 0, x = 2, x = 6; about x = 1

97. ## Calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line: y=x, y=x^(1/2); about x=2

98. ## calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^4, y=0, x=2, x=9; about y=–5

99. ## calculus

help!! please ...Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0about the y-axis

100. ## Calculus

find volume of solid obtained by rotating region bounded by curves y=x and y=sq.rt x, about line x=2