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

134,024 results

1. ### 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 the x-axis. I saw some...
2. ### 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 by rotating the region...
3. ### 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 by rotating the region...
4. ### 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) Find the volume of the ...
5. ### 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 y-axis. PLease can anyone...
6. ### 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 y=18x-6x^2 , y=0 : about the ...
7. ### 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 rotating the above region ...
8. ### 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 rotating around the x-...
9. ### Calculus [rotation of region bounded by curves]

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=3x^2, x=1, y=0 about the x-axis
10. ### Calculus [Finding volume of solid]

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2 y=0 x=3 about the y-axis
11. ### 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.
12. ### 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.
13. ### 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.
14. ### cal

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

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

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

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

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

Find the volume of the solid obtained by rotating the region bounded by y=8x+24, y=0 about the y-axis.
20. ### 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.
21. ### 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.
22. ### 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.
23. ### 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 appreciated; not sure how to ...
24. ### Cal 2

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^3,y=0,x=4,x=7. About the y-axis. Volume =
25. ### 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.
26. ### 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 :(
27. ### Calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, x=y^2 about the axis x=–1
28. ### Calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2 x=y^2 about the axis x=–5
29. ### Calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=0, y=x(3-x) about the axis x = 0
30. ### calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=4 x^2, x = 1, y = 0, about the x-axis
31. ### Calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=4y^2, y=1, x=0 about the y-axis
32. ### math

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=2y^2 , y=1 ,x=0 about the y-axis
33. ### Calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=2y^2 y=1 x=0 about the y-axis
34. ### CALCULUS:)

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=3y^2, y=1, x=0 about the y-axis.
35. ### CALCULUS:)

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, x=y^2 about the axis x=–3
36. ### 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 = 0, x = 0, x = 3, about the y-axis
37. ### 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 = 0, x = 0, x = 3, about the y-axis
38. ### Calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2,x=y^2 about the axis x=–7
39. ### Calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=6x^2, x=1, y=0, about the x-axis
40. ### calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed axis. x+y = 3, x = 4−(y−1)^2; about the y-axis.
41. ### calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x2x=y2 about the axis x=–3

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=2+1/x^4,y=2,x=4,x=9; about the x-axis.
43. ### calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed axis. y = 64x−8x^2, y = 0; about the y-axis.
44. ### 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.
45. ### Math

Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis? y=x^2 x=y^2 about the axis x=–2 here's what i did and it was incorrect V = 2pi [x+2][x^1/2 - x^2]dx from 0 to 1 V = 2 pi [2x^5/3 / 5 + 4x^3/2 / 3 - x^4/4 - 2x^3 / 3] V...
46. ### Calculus 2b

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2 x=y^2 about the axis x=–3 ? Having Trouble please help!!
47. ### 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
48. ### 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
49. ### Calc

find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=x^2+1; y=9-x^2; about y=-1
50. ### Calc2

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = x2, y = 1; about y = 6
51. ### 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
52. ### 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
53. ### calculus one

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^4,y=1; about y=5
54. ### Cal

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

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, x=y^2, about the axis x=-5... i just cant seemt to get the numbers to work out well and get answer please help...thanks
56. ### Math

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = (64 − x^2)^(1/4), y = 0, x = 6, x = 7; about the x-axis
57. ### calculus help

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4 − 1/2x, y = 0, x = 0, x = 1; about the x-axis V = ????
58. ### calculus 2

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3x^4, y = 3x, x ≥ 0; about the x-axis
59. ### CALCULUS

Let R be the region bounded by y=e^x, y=2. and the y-axis. Find the volume of the solid obtained by rotating the y-axis.
60. ### calculus help

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 4(square root of (3y)), x = 0, y = 3; about the y-axis V=?????
61. ### calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=9y^2 y=1 x=0 about the y-axis. I am able to find the volume of other questions, but this one got me stumped. I tried drawing out the graph, but I can't really ...
62. ### calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=9y^2 y=1 x=0 about the y-axis. I am able to find the volume of other questions, but this one got me stumped. I tried drawing out the graph, but I can't really ...
63. ### calculus

find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. sketch the region and a typical disk or washer. y^2=x, x=2y; about the y-axis i am confused because i do not know how to set it up because one is Y and the other ...
64. ### 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
65. ### 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
66. ### 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 computes the volume of ...
67. ### 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 computes the volume of ...
68. ### calculus

he volume of the solid obtained by rotating the region bounded by x=(y−2)^2 and y=x about the x-axis has the form N/2π. What is the value of N?
69. ### calculus

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

3). The shaded region is bounded by the y-axis and the graphs of y=1+√x, y=2. Find the volume of the solid obtained by rotating this region around the x-axis. Answer choices: 7/6pi, 4/3pi, 11/6pi, 5/3pi, 13/6pi, 5/6pi 4). Find the area of the region bounded by y=x^2-6x+7...
71. ### 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?
72. ### calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x+y=4,x=5−(y−1) 2 ;
73. ### 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 axis y=-1 My Work: [...
74. ### 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
75. ### Calculus

We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1, and y=0 is rotated ...
76. ### Calculus

We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1, and y=0 is rotated ...
77. ### 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.
78. ### Calculus

Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=1, and the y-axis and whose cross-sections perpendicular to the y axis are equilateral triangles. I asked this same question for the y-axis around the x-axis (Thanks for the explanation) but I don...
79. ### Calculus

Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=1, and the y-axis and whose cross-sections perpendicular to the y axis are equilateral triangles. I asked this same question for the y-axis around the x-axis (Thanks for the explanation) but I don...
80. ### Calculus

Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=1, and the y-axis and whose cross-sections perpendicular to the y axis are equilateral triangles. I asked this same question for the y-axis around the x-axis (Thanks for the explanation) but I don...
81. ### math

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^2 y=0 x=4 x=7; about y=–3 i integrated and plugged in values for x and got .61 *pi this is not the right answer been trying for hours please help!
82. ### math

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^2 y=0 x=4 x=7; about y=–3 i integrated and plugged in values for x and got .61 *pi this is not the right answer been trying for hours please help!
83. ### 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
84. ### 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.
85. ### 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
86. ### 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.
87. ### 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
88. ### 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
89. ### 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.
90. ### Calculus

Find the volume of the solid obtained by rotating the region bounded by the curves: 2x = -y^2 y^2 = -x + 2 y = 0 for y >= 0 about the x-axis. Not sure how to do this one, could anybody help me identify what this looks like and how to identify the outer/inner radius? Thanks
91. ### math

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=0, y= \cos(x), x = \frac{\pi}{2}, x = 0 about the axis y= -3 You might need to use the identity: cos^2(x) = \frac{1}{2}(cos(2x) + 1).
92. ### 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=?
93. ### Calculus

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

Find the volume of the solid obtained by rotating the region bounded by the curves y=x^6, y=1 about the line y=4
95. ### 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.
96. ### Calculus

Let R be the region bounded by y=−3(x−1)(x−3) and the x-axis. Let S be the solid obtained by rotating R about the y-axis. The volume of S is given by Nπ. What is the value of N?
97. ### 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
98. ### 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.
99. ### 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!
100. ### Calculus

Let R be the square region bounded by y = 2, x = 2, and the x and y-axes. When R is rotated about the x-axis, what is the volume of the resulting solid? What is the volume of the solid generated by rotating R about the y-axis?