# Find the volume formed by rotating the region enclosed by: x=2y and y^3=x with y greater than or equal to 0 about the y-axis

124,371 results
1. ## Math

Sketch the region enclosed by the lines x=0 x=6 y=2 and y=6. Identify the vertices of the region. Revolve the region around the y-axis. Identify the solid formed by the revolution calculate the volume of the solid. Leave the answer in terms of pi. I always

2. ## geometry

Sketch the region enclosed by the lines x=0 x=6 y=2 and y=6. Identify the vertices of the region. Revolve the region around the y-axis. Identify the solid formed by the revolution calculate the volume of the solid. Leave the answer in terms of pi.

3. ## calculus 2

Find the volume of the solid formed by rotating the region enclosed by y=e^(5x) , \ y=0, \ x=0, \ x=0.8 around the y-axis Please help, i have been attempting these problems for a couple of days

4. ## 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.

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. ## calculus

1. Let R be the region in the first quadrant enclosed by the graphs of y=4-X , y=3x , and the y-axis. a. Find the area of region R. b. Find the volume of the solid formed by revolving the region R about the x-axis.

7. ## calculus

Let R be the region in the first quadrant that is enclosed by the graph of y = tanx, the x-axis, and the line x = π/3 h. Find the area of R i. Find the volume of the solid formed by revolving R about the x-axis

9. ## Math

The region enclosed by the curve y = ex, the x-axis, and the lines x = 0 and x = 1 is revolved about the x-axis. Find the volume of the resulting solid formed. How do you do this?

10. ## Calculus

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

11. ## Calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(1x)+4 y=0 x=0 x=0.3 about the x-axis. I attempted this problem numerous time and kept on getting 5.501779941pi, using the formale integral of pi(r^2) bounded by 0.3 and 0.

12. ## 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

13. ## Calculus

Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y = x^3 y = 16 x about the x-axis.

14. ## Calculus

Use washers to find the volume formed by rotating the region enclosed by: y=1.4−2|x−13| and y=0 about the y-axis

15. ## calc

Find the volume formed by rotating about the y-axis the region enclosed by x=11y and y^3=x with y≥0

16. ## 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

17. ## Calc

What is the volume of the solid generated by rotating about the y-axis the region enclosed by y=sinx and the x-axis, from x=0 to x=π? Thank you for your help!!

18. ## CALC URGENT

Find the volume formed by rotating the region enclosed by: x=2y and y^3=x with y greater than or equal to 0 about the y-axis

19. ## Calc

Find the volume formed by rotating the region enclosed by: x = 8 y and y3 = x with y ≥ 0 about the y-axis

20. ## Cal 2

Find the volume formed by rotating the region enclosed by: y=2sqrt(x) and y=x about the line y=4

21. ## calculus

Find the volume of the solid formed by rotating the region enclosed by y=e2x+1, y=0, x=0, x=0.9 about the y-axis.

22. ## Calculus :)

Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, x=0.4 about the x-axis.

23. ## 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

24. ## Calculus

Use the Shell Method to compute the volume V of the solid obtained by rotating the region enclosed by the graphs of the functions y = x^2, y = 8 − x^2,and x = 1/2 about the y-axis. Here is how I set up the integral: 2 pi integral sign [-2,2] (1/2 -

25. ## math

Find the volume of the solid formed by rotating the region enclosed by y=e^2x+5 y=0 x=0 x=0.4 about the x-axis.

26. ## 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=?

27. ## Calculus

Find the volume of the solid formed by rotating the region bounded by the graph of y equals 1 plus the square root of x, the y-axis, and the line y = 3 about the line y = 5.

28. ## Calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(5x)+(3), y=0, x=0, x=0.8 about the x-axis.

29. ## 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

30. ## calculus

Consider the graphs of y = 3x + c and y^2 = 6x, where c is a real constant. a. Determine all values of c for which the graphs intersect in two distinct points. b. suppose c = -3/2. Find the area of the region enclosed by the two curves. c. suppose c = 0.

31. ## CALCULUS

The region R is bounded by the x-axis, y-axis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the x-axis. C. The solid formed in part B is divided into two solids of

32. ## 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

33. ## 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

34. ## math

Find the volume of the solid formed by rotating the region enclosed by y=e^4x+3 y=0 x=0 x=0.7 this is my work V = ∫ e^4x dx {between x=0 and x=0.7} = 1/4 e^4x {between x=0 and x=0.7} = 1/4 (e^2.8 - e^0) = 1/4 (e^2.8 - 1) however i am etting the wrong

35. ## Calculus Help Please Urgent!!!

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x^2, y = 5x, x ≥ 0; about the x-axis V = ??? Sketch the region

36. ## 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

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

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

39. ## Calculus

Find the volume of the solid obtained by rotating the region enclosed by the graphs x=y^(3) and x= y^(1/3) about the y-axis over the interval [0,1].

40. ## Calculus I

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=7x^5 y=7x, x is greater than or equal to 0

41. ## Calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(2x)+3 y=0, x=0, x=0.9 about the x-axis.

42. ## Calculus II

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0,y= 6 +x^{8} about the y-axis.

43. ## calculus

Find the volume of the solid obtained by rotating the region in the first quadrant enclosed by the curves y= tanx and y=2cosx between the bounds 0 and pi/2. I need the setup.

44. ## Solids of Revolution

The region enclosed by the curve y =e^x, the x-axis, and the lines x=0 and x=1 is revolved about the x-axis. Find the volume of the resulting solid formed.

45. ## calculus

Find the volume of the solid obtained by rotating the region in the first quadrant enclosed by the curves y= tanx and y=2cosx between the bounds 0 and pi/2 around y=-1 would it be A= pi * ∫ 0 to 0.78 {(2cosx+1)^2 - (tanx+1)^2}

46. ## CALCULUS HELP PLZ

The region R is bounded by the x-axis, y-axis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the x-axis. C. The solid formed in part B is divided into two solids of

47. ## 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

48. ## calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, and x=.2 about the y-axis

49. ## Calc Help Please Again!

Find the volume of the solid formed by rotating the region enclosed by y=e^(1x)+4, y=0, x=0 and x=0.2 about the x-axis? Ty

50. ## 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

51. ## Calculus

Find the volume of the solid obtained by rotating the region enclosed by the graphs x=y^{5} and x=5sqrty about the y-axis over the interval [0,1].

52. ## Calculus 1

Let f be the function given by f(x)=3sqrt(x-2). A) On the axes provided sketch graph of f and shade the region R enclosed by the graph f, the x-axis, and the vertical line x=8 (already completed just mentioned it for part B.) B) Find area of the region R

53. ## math

A rancher wishes to use 86 ft of fencing to enclose a rectangular paddock and subdivide the region into three smaller areas. If the total enclosed area is 225 ft2, find the dimensions of the enclosed region.

54. ## Calculus

Find the volume of the solid formed by rotating the region enclosed by x=0, \ x=1, \ y=0, \ y= 8 +x^{2} about the x-axis.

55. ## Cal

Find the volume of the solid formed by rotating the region enclosed by y=(e^(2x))+4,y=0,x-0,x=0.4. I tried doing this but got really confused. Really appreciate it if you guys help.Tnks

56. ## 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

57. ## calculus

Find the volume of the solid formed by rotating the region in the 1st quadrant enclosed by the curves y= x^(1/4) and y= x/64 about the y-axis.

58. ## calculus

Let A be the bounded region enclosed by the graphs of f(x) = x , g(x) = x3 . Find the volume of the solid obtained by rotating the region A about the line x + 2 = 0.

59. ## Calculus II

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=3−x about the x-axis.

60. ## Calculus

Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=15-x, y=3x+11 and x=0 about the y-axis.

61. ## calculus

Use the shell method to find the volume of the solid formed by rotating the region bounded by y=x^3, y=0, x=0, and x=2 about the line x=3.

62. ## Calculus 2

I am having so many problems with these volume problems, 1. Find the volume of a the solid obtained by rotating the region enclosed by: x = 2y and y^3 = x with y>0 about the x axis 2.Find the volume of cone of height h = 250 and a circular base with radius

63. ## Calculus

Find the volume of the solid formed by rotating the region bounded by the graph of y equals 1+ √x, the y-axis, and the line y = 3 about the line y = 5. a) 13.333 b) 17.657 c) 41.888 d) None of these

64. ## 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

65. ## math

A rancher wishes to use 86 ft of fencing to enclose a rectangular paddock and subdivide the region into three smaller areas. If the total enclosed area is 225 ft2, find the dimensions of the enclosed region.

66. ## Math- Calc

Find the volume of the solid formed by rotating the region enclosed by y=e^(4x)+2, y=0, x=0, x=0.8

67. ## Calculus [Finding volume of solid]

Find the volume of the solid formed by rotating the region enclosed by x=0 x=1 y=0 y=4+x^5

68. ## Calculus

find the volume of the solid formed by rotating the region enclosed by y=e^(1x+4), y=0, x=0, x=0.9

69. ## calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, and x=.2 about the y-axis

70. ## calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, and x=.2 about the y-axis

71. ## calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(1x+2), y=0 ,x=0 , x=0.7 about the x-axis.

72. ## calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(1x+2), y=0 ,x=0 , x=0.7 about the x-axis.

73. ## calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(2x)+1, y=0, x=0,x=0.9 about the y-axis.

74. ## calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(2x)+1 y=0 x=0 x=0.9 about the y-axis.

76. ## Calculus

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=5+x^6 about the x-axis.

77. ## calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(2x)+1 y=0 x=0 x=0.9 about the y-axis.

78. ## CALCULUS:)

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=9+x^4 about the x-axis.

79. ## calculus

Find the volume of the solid formed by rotating the region enclosed by y=e2x+1y=0x=0x=09 about the y-axis.

80. ## cal

Find the volume of the solid formed by rotating the region enclosed by y=e2x+1, y=0, x=0, x=0.9 about the y-axis.

81. ## 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=

82. ## 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

83. ## 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

84. ## calculus

Use the shell method to find the volume of the solid formed by rotating the region bounded by y=x^3, y=0, x=0, and x=2 about the line x=3.

85. ## Calculus

Use the disk method to find the volume of the solid formed by rotating the region bounded by y=2x and y=x^2 about the y-axis.

86. ## calculus

Use the disk method to find the volume of the solid formed by rotating the region bounded by y=2x and y=x^2 about the y-axis.

87. ## Calculus

Use the disk method to find the volume of the solid formed by rotating the region bounded by y=2x and y=x^2 about the y-axis

88. ## Calculus

Sir i need help in two questions, i am stuck ! 1) Calculate the population within a 7mile radius if the radialpopulation density is 6(3+r^2)^1/3 ? Use decimal notation and aswer should be in million. 2) Find the volume of solid obtained by rotating the

89. ## Calculus I

Find the volume of the solid formed by rotating the region bounded by the graph of y equals 1 plus the square root of x, the y-axis, and the line y = 3 about the x-axis.

90. ## 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

91. ## Calculus

Let 𝑆 be the region (in the first quadrant) bounded by a circle 𝑥^2 + 𝑦^2 = 2, 𝑦^2 = 𝑥 and the 𝑥-axis (ii) Find the volume of the solid generated by rotating the region 𝑆 about the 𝑦-axis (c) Find the surface area of the solid

92. ## integral Calculus

The region in the x-y plane bounded by the curve y=x^2, the line x=0 and the line x=5 and the x-axis. find the volume generated. can you help me check for correction the answer i got was = 625 You want to find volume. Are you rotating the region around a

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 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

95. ## 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.

96. ## calculus

Find the volume formed by rotating the region enclosed by: x=5y and y3=x with y0

97. ## Calculus AB

Please help!!! Given the equations Y=√x, y=3 and x=0 1.) find the volume that is formed by rotating the shaded region about the line y=4 2.) find the volume that is formed by rotating the shaded region about the line x=6 I have a test on this tomorrow

98. ## Calculus

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

99. ## Calculus

Find the volume of the solid obtained by rotating the region enclosed by the curves y= 1/x and y= 6-x about the x-axis. (Use symbolic notation and fractions where needed.)

100. ## physics gauss law

In a spherical region, the voltage is measured to be spherically symmetrical, with V = VCr) = wrg • The constants, wand g, are positive. a. Find the radial electric field. b. Use Gauss' Law to find the charge enclosed in a sphere of radius r. c. Find the