# 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=?????

119,578 results
1. ## 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.

2. ## 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

3. ## Calculus

1. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 6. y = x, y = 0, y = 5, x = 6 2. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded

4. ## Math

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin x, y = 8 cos x, 0 ≤ x ≤ π/4; about y = −1

5. ## 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

6. ## 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)

7. ## 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.

8. ## 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.

9. ## 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

10. ## 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

11. ## 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.

12. ## 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

13. ## 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=?????

14. ## Calculus

Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(x), y=0, x=0, and x=π/2 about the line y=1.

15. ## 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?

16. ## Calculus

Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y = 0.5x2 and y = x about the line x = 7. (10 points)

17. ## 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

1) Find the area of the region bounded by the curves y=arcsin (x/4), y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. 2)Set up, but do not evaluate, the integral which gives

19. ## 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 =

20. ## 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.

21. ## Calculus 2

Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=1/x, y=0, x=1 and x=4 about the line y=−1

22. ## Calculus

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

23. ## 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

24. ## 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.

Write the integral in one variable to find the volume of the solid obtained by rotating the first‐quadrant region bounded by y = 0.5x2 and y = x about the line x = 5.

26. ## 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?

27. ## 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

28. ## calculus

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

29. ## 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

30. ## 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

31. ## Math Calc 1 Last question

Find the volume of the solid obtained by rotating the region bounded by the curves y=4x-x^2, y=8x-2x^2 about the line x=-2. I got 256 pi/3 but pretty sure my work is wrong.

32. ## 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

33. ## 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 =

34. ## 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

35. ## 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

36. ## 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

37. ## 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

38. ## 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 = ????

39. ## 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

40. ## calculus

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 = 1 + (y − 6)^2, x = 17

41. ## 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

42. ## 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 :(

43. ## mathematics

Find the volume V of the solid obtained by rotating the region bounded by curves y=x and y= √𝒙 about the x-axis.

44. ## calculus

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

45. ## Caclulus

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3sqrt64 − x^2, y = 0, x = 4, x = 5 about the x-axis

46. ## 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

47. ## 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

48. ## Calculus

I need help on this singular question relating to finding the volume of a solid that is obtained. Any help is appreciated, please show work so I can learn better for next time. Thanks! ​ "Find the volume of the solid obtained by rotating the region

49. ## 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.

50. ## 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.

51. ## Calculus

Find the volume V of the solid obtained by rotating the region bounded by curves y=x and y= √𝒙 about the x-axis

52. ## 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

53. ## 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

54. ## calculus

Find the volume of the solid obtained by rotating the region bounded by the curves y=x^4,y=1 about the line y=4 . Answer:

55. ## 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 = 5.

56. ## 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

57. ## 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

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

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.

60. ## 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.

61. ## Calculus

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

62. ## 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 ;

63. ## calculus

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 2/x, y = 0, x = 1, x = 3; about y = −1 V=

64. ## 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

65. ## 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

66. ## 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

67. ## calculus II

Consider the solid obtained by rotating the region bounded by the given curves about the line y = 2. Y = 2+secx -pi/3

68. ## calculus2

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = x − 1, y = 0, x = 8; about the x-axis.

69. ## 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

70. ## Calculus

Consider the solid obtained by rotating the region bounded by the following curves about the line x=1. y=x,y=0,x=4,x=6 Find the volume So it would be pi (integral from 3 to 6) of ((1-y)^2 -(1-0)^2) right? so then you integrate it and get pi(Y^3/3-y^2) from

71. ## Calculus

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 = 3 + (y − 5)^2, x = 12

72. ## Calculus

Find the volume of the solid obtained by rotating the region bounded by the curves about the line x=-3, y=x^2, x=y^2. I keep getting the wrong answer!! Please hellpp!! =(

73. ## 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

74. ## 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

75. ## 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

76. ## 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.

77. ## 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.

78. ## 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.

79. ## calculus

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

80. ## 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

81. ## 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.

82. ## calculus

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

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. ## cal

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

85. ## 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

86. ## Calculus

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3/x, y = 0, x = 1, x = 5; about y = −1

87. ## calculus

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

88. ## calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed line. x = 1−y^4, x = 0; about x = 1.

89. ## calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed line. x = 1−y^4, x = 0; about x = 1.

90. ## 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 =

91. ## 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=?

92. ## 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

93. ## 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

94. ## 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 =

95. ## calculus 2

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3 sin x, y = 3 cos x, 0 ≤ x ≤ π/4; about y = −1

96. ## 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

97. ## 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?

98. ## 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

99. ## 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.

100. ## 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