# find the volume of the solid generated by revolving the region bounded by the graphs of the equations y=2sqrtx, y=o, x=3 about the x-axis

104,847 results
1. ## calculus

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 6. y = 6 − x y = 0 y = 5 x = 0

asked by ME on January 23, 2012
2. ## Calculus 2

Find the volume of the solid generated by revolving the region bounded by the graphs of the quations about the x-axis. Y=x^2+4 Y=-x^2+2x+8 X=0 X=3

asked by Gabby on November 8, 2017
3. ## Calculus

Find the volume or the solid generated by revolving around the region bounded by the graphs of the equations about line x=6. xy=6, y=2, y=6, and x=6

asked by Christina on May 28, 2012
4. ## Calculus Voulme

find the volume of the solid generated by revolving the region r bounded by the graphs of the given equations about the y-axis. x^2+y^2=1 x=1 y=1

asked by Laurie on July 19, 2012
5. ## 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

asked by Daisy on January 16, 2017
6. ## calculus

find the volume of the solid generated by revolving the region bounded by the graphs of the equations y=2sqrtx, y=o, x=3 about the x-axis.

asked by carlton on May 2, 2012
7. ## Calculus

"Find the volume of the solid generated by revolving the region bounded by the graphs of the given equations about the indicated lines: y = 2x^2 y = 0 x = 2 About the line y = 8"

asked by Stuck on April 18, 2010
8. ## Math (Calculus)

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the y-axis. (Use Disc Method) y=3(2-x), y=0, x=0

asked by Sherman on May 8, 2014
9. ## Calculus

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :)

asked by Pan on March 29, 2008
10. ## Calculus

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :)

asked by Sun on March 27, 2008
11. ## Calculus

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations y = 0.5x^2, y = 2, and x = 0 about the line y = 2. A. 8pi/15 B. 32pi/15 C. 64pi/15 D. 4pi/15 E. 16pi/15

asked by Anonymous on March 31, 2017
12. ## Calc

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y = sin x, y = 0, x = 0 I just need help setting up the formula. So far I got V= the integral from 0 to pi of [(sin²x) - 0²]dx. Is

asked by Erica on February 1, 2011
13. ## calculus

1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x+3). Show the integral used, the limits of integration and how to evaluate the integral. 2. Find the area of the region bounded by x=y^2+6, x=0 , y=-6, and y=7. Show all work required in

asked by katarina on May 15, 2012
14. ## calculus

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and/or inequalities about the indicated axis. x = y(25 − y2)^1/2 x = 0 the y-axis

asked by Morgan on February 2, 2011
15. ## Math (Calculus)

Use the disc method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line. y=x^3, y=0, x=2 a)the x-axis b)the line x=4

asked by Sherman on May 9, 2014
16. ## calculus

Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 a)the line x = 4

asked by ReinaS on January 25, 2012
17. ## math

Find the volume of the solid generated by revolving the region bounded by y= x^(1/2), y= 0, and x= 3 revolving around the y-axis.

asked by Danelle on September 1, 2012
18. ## college, math

find the bolume of the solid generated by revolving the region bounded by the graphs of y=sqrt x , y=0, and x=4 about the x axis

asked by denise on April 29, 2010
19. ## calculus

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. (Round your answer to three decimal places.) y = e^−x y=0 x=0 x=7 I got the answer ~10.783 Idk why it's wrong

asked by NAN on January 22, 2012
20. ## Calculus

Can you please check to see if these answers are correct? I have provided my work as well! That you! This is much appreciated!! 1. What is the volume of the solid that is generated by revolving the region bounded by the curves x = 3y^2-2 and x = y^2 and y

asked by Daisy on January 23, 2017
21. ## calculus

Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 the x-axis,the y-axis,and the line x = 4

asked by Meltnd on January 25, 2012
22. ## calculus

Find the volume of the solid generated by revolving about line x = -4 the region bounded by x = y - y^2 and x = y^2 - 3

asked by Ryan on November 9, 2011
23. ## calc

Find the volume of the solid generated by revolving the region bounded by y=e^(5/2x),y=0,x=1, and x=5 about the x-axis.

asked by Sarah on June 29, 2016
24. ## calculus 2

find the volume of the solid obtained by revolving the region bounded by the graphs of y=2+4x-x^2 and y=2 about the line y=2.

25. ## calculus

Find the volume of the solid formed by revolving the region bounded by the graphs of y=3-(x^2) and y=2 about the line y=2

asked by karlei on April 16, 2010
26. ## Calculus

find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3 y=1 x=2 about the y-axis

asked by Ke\$ha on April 29, 2017
27. ## Calc Desperate

can anyone help me with the last problem # 14 Find the volume of the given solid generated by revolving the regions bounded by the graphs of the equations about the given lines. 14. y=6-2x-x^2, y=x+6 a. the x-axis b. the line y=3

asked by Liz on February 23, 2018
28. ## 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

asked by Mia on March 2, 2011
29. ## Calculus

Find the volume of the solid formed by revolving the region bounded by the graphs of y=4x^2 and y=16 about the x-axis. (Washer Volume)

asked by john on January 31, 2010
30. ## Volume

Find the volume of the solid generated by revolving the region bounded by the given curves and line about the y-axis. y=50-x^2 y=x^2 x=0

asked by Jamie on July 19, 2012
31. ## Volume of a solid - calculus

Find the volume of the solid generated by revolving the region bounded by the curves: y=2 Sqrt(x), y=4, x=0 about the x-axis

asked by Jess on December 8, 2011
32. ## Math

Find the volume of the solid generated by revolving the region bounded by y= 5 cosh (x) and y= 5 sinh (x) between x = 0 and x = 1 about the x-axis

asked by Jose on February 10, 2012
33. ## Calculus

'Find the volume of the solid generated by revolving the region bounded by x=16-y^2, x-axis, and y-axis around the x-axis.' I know in theory how to do it, but I'm a little confused by what constitutes the bounded region because it's a sideways parabola,

asked by CodyL on January 8, 2018
34. ## poly

the volume of the solid generated by revolving infinite region bounded by x-axis, x=k, and y=1/x+2 in the first quadrant about the x-axis to generate a solid. Find the volume of the solid.

asked by Baohua on October 31, 2010
35. ## math

1) A region is bounded by the line y = x and the parabola y = x2 - 6x + 10. What is the volume of the solid generated by revolving the region about the x-axis?

asked by arun on April 6, 2011
36. ## math

1) A region is bounded by the line y = x and the parabola y = x2 - 6x + 10. What is the volume of the solid generated by revolving the region about the x-axis?

asked by arun on April 6, 2011
37. ## Calculus

Use the disk method to find the volume of the solid generated by revolving about the y-axis the region bounded by the curves y=8−x^2 and the curve y=x^2.

asked by Travis on April 25, 2017
38. ## calculus

Hi, I have the following HW question and I'm a little confused: Find the volume of the solid generated by revolving the region bounded by y=1/sqrt(x) and y=0 for 1

asked by camryn on May 5, 2017
39. ## Calculus

Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 4, and y = 1 about the y-axis. I'm supposed to use this equation right? piR^2-x^r^2. and then change y=x^2 to x=sqrty. That's all I got.

asked by John on January 22, 2016
40. ## calculus

determine the volume of the solid of revolution generated by revolving the region bounded by y=x^3-x^5, y=0, x=0 and x=1 about the line x=3

asked by jump on December 3, 2012
41. ## Calculus I

Which of the following represents the volume of the solid formed by revolving the region bounded by the graphs of y =x^3, y = 1, and x = 2, about the line x = 2?

asked by Jer on April 22, 2016
42. ## Calculus

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.

asked by Mia on March 1, 2011
43. ## calculus

Sketch the region R bounded by the graphs of the equations and find the volume of the solid generated if R is revolved around the x axis. x= y^2 x-y =2

asked by casquibaldo on May 1, 2012
44. ## calculus

sketch the region R bounded by the graphs of the equations, and find the volume of the solid generated if R is revolved about the x axis when y=x^2 y=4-x^2

asked by dario on May 1, 2012
45. ## MATH

Find the volumes of the solids generated by revolving the region in the first quadrant bounded by the following about the given axes. x = y - y3, x = 1, y = 1 (b) Revolved about the y-axis ? Hi Shawn, 97/105 * pi ? :) We need to cut away the volume of the

asked by Shawn on February 9, 2007
46. ## Calculus

5. Find the volume of the solid generated by revolving the region bounded by y = x2, y = 0 and x = 1 about (a) the x-axis (b) the y-axis

asked by Maryam on June 5, 2013
47. ## Halfway solved-calc

So I'm trying to solve this problem but one thing I don't get is, how do I know which method to use just by looking at the graph (disk, washer, or shell)? Find the volume of the solid generated by revolving the region bounded by the graphs y=x^2- 4x+ 5 and

asked by Hannah on May 22, 2013
48. ## calculus

Find the volume of the solid generated by revolving the region about the given line. The region is in the first quadrant bounded above by the line y= sqrt 2, below by the curve y=secxtanx, and on the left by the y-axis. Rotate the region about the line

asked by ashley on May 23, 2011
49. ## AP Calculus AB

Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 4, and y = 1 about the y-axis 39pi/2 225pi/2 735pi/2 None of these I got 39pi/2

asked by Vikram on March 7, 2016
50. ## Calculus

Use the shell method to set up, but do not evaluate, an integral representing the volume of the solid generated by revolving the region bounded by the graphs of y=x^2 and y=4x-x^2 about the line x=6. I had the shell radius as (6-x) and the shell height as

asked by Ryan on March 7, 2011
51. ## calculus

Find the volume of the solid generated by revolving the region about the given line. The region in the second quadrant bounded above by the curve y = 16 - x2, below by the x-axis, and on the right by the y-axis, about the line x = 1 I have gathered, that

asked by Tiffany on April 12, 2013
52. ## cal

Solve the problem. Find the volume of the solid generated by revolving the region bounded by the curve y=lnx, the x-axis, and the vertical line x=e^(2) about the x-axis.

asked by tony on December 23, 2013
53. ## Math

Find the volume of the solid generated by revolving the following region about the given axis The region in the first quadrant bounded above by the curve y=x^2, below by the x-axis and on the right by the line x=1, about the line x=-4

asked by jake on September 11, 2012
54. ## Calculus

Find the volume of the solid generated by revolving the following region about the given axis. The region in the first quadrant bounded by the curve y=x^2, below by the x-axis, and on the right by the line x=1, about the line x=-2

asked by Becca on January 24, 2012
55. ## calculus

Consider the region bounded by the parabola y=x^2 and the line y=16 . (a) What is the volume of the solid generated when revolving this region about the line y=16 ?

asked by Sam on January 15, 2011
56. ## math

Find the volume of a solid generated by revolving the region bounded by y=secx and y=0 and x=0, x-pi/4 about the x axis. Don't evaluate. Please help!!!! Also, what si the average value of this equation? I don't understand what that means.

asked by olivie on April 17, 2011
57. ## Calculus

Let R be the region bounded by the y-axis and the curves y = sin x and y = cos x. Answer the following. a)Find the exact area of R. b)A solid is generated by revolving R about the x-axis. Find the exact volume of the solid.

asked by ronnieday on April 20, 2012
58. ## Calculus

Let R be the region bounded by the y-axis and the curves y = sin x and y = cos x. Answer the following. a)Find the exact area of R. b)A solid is generated by revolving R about the x-axis. Find the exact volume of the solid.

asked by ronnieday on March 23, 2012
59. ## Math

I am in Calculus and am currently learning how to find the Area of a Surface of Revolution. I cannot understand what the surface of revolution (whether it's the x-axis, y-axis, or y=6) is. For example, I had a problem saying to use the washer method to

asked by Suzie on December 13, 2007
60. ## math

Finf the volume of the solid generated by revolving the region bounded by the curve. x=2/(y+1), x=0, y=0, y=3, about y-axis. My ans is pie unit^3. Is it correct? if wrong can i know the right calculation.

asked by ifi on December 20, 2012

1) A region is bounded by the line y = x and the parabola y = x2 - 6x + 10. What is the volume of the solid generated by revolving the region about the x-axis? would u please give the explanation with a detailed steps to the answer because i am not able to

asked by arun on April 12, 2011
62. ## 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,

asked by Hannah on May 21, 2013
63. ## 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,

asked by Hannah on May 21, 2013
64. ## calculus

Give the volume of the solid generated by revolving the region bounded by the graph of y=ln(x), the x-axis, the lines x=1 and x=e, about the y-axis

asked by josh on March 4, 2010
65. ## Math

Find the volme of the solid generated by revolving the region bounded by the triangle with vertices (1,1) (1,3) and (2,3) about the x axis using shells and washers.

asked by Danielle on September 30, 2010
66. ## calculus

find the volume of the solid bounded above by the surface z=f(x,y) and below by the plane region R f(x,y)=2x^2 y;R is the region bounded by the graphs of y=x and y=x^2

asked by sol on April 5, 2012
67. ## Calculus

Find the volume of the solid generated by revolving the region bounded by the line y=5x+6 and the parabola y=x^2 about the following lines: a) the line x=6 b) the line x=-1 c)the x axis d) the line y=36 Thanks!

asked by h on September 16, 2012
68. ## Maths

A.Find the area of the region bounded above by y=2cosx and above by y=secx,-π/4≤x≤π/4. B.Find the volume of the sold generated by revolving the region in (A) above about the x-axis

asked by Sammy on April 22, 2017
69. ## Calculus

Find the volume, in cubic units, generated by revolving the region bounded by y = x3 , x = 0, and y = 8, around the line x = 7 .

asked by Beth on December 2, 2011
70. ## calculus

Find the volume generated by revolving about the x-axis the region bounded by the following curves y=sqrt/(4x+3),x=0,x=4, and y=0. (Use "pi" for π).

asked by SARAH on June 29, 2016
71. ## calculus

Find the volume generated by revolving the region bounded by y=18x-3x^2 and y=9x about the y-axis. a. pi/12 b. pi/6 c. 3pi/4 d. pi/3 help! .. :D

asked by norm on April 29, 2011
72. ## 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

asked by Jillian on April 5, 2008
73. ## Calc 2

Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y = x + 2 and the parabola y = x^2 about the following lines: a) The line x=2 b) The line x=-1 c) The x axis d) The line y=26 I know what the

asked by Nathan on October 3, 2016
74. ## Calculus AP

Let R be the region bounded by the graphs of y=cos((pi x)/2) and y=x^2-(26/5)x+1. A. Find the area of R. B. The vertical line x=k splits the region R into two equal parts. Write, but do not solve, an equation involving integrals that solves for k. C. The

asked by Jess on March 1, 2013
75. ## Maths

Find volume of solid generated by revolving around region y=x^(1÷2) and y=2,x=0 about 1)x=0 2)y=2

asked by Edward on November 6, 2016
76. ## calculus

Find the volume of the solid formed by revolving the region bounded by y=1-x, y=x-4, x=0 about x=7

asked by Beth on December 6, 2011
77. ## calculus

find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3,y=1, and x=2 about the x-axis using the disk method. 9 express the answer in terms of pie) i got the answer to be 3/5 pie but im not sure if is right. i used the

asked by Nancy on February 2, 2010
78. ## Math calculus 2

Find the volume of the solid generated by revolving the given region about the line x=16: y=4-x,y=0,y=2,x=0.

asked by Andrew on February 15, 2018
79. ## Integral calculus

Use the cylindrical shell method to find the volume of the solid generated by revolving the area bounded by the given curves (x-3)^2 + y^2 = 9, about y-axis.

asked by Anonymous on May 15, 2016
80. ## Calculus - Volume by Integration

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the y-axis: y=(x-2)^3-2, x=0, y=25 (a)solve by either the disk or washer method (b)solve by the shell method (c)state which method is easiest to

asked by Nicole on November 24, 2013
81. ## math

Find the volume of the solid formed by revolving the region bounded by f(x)= 2-x^2 and g(x)=1 about the line y=1.

asked by may on April 22, 2015
82. ## Pre Calc

Find the volume of the solid formed by revolving the region bounded by y = 16 - x^2 and y = 0 about the x-axis .

asked by Beth on December 3, 2011
83. ## Calculus

Find the volume of the solid formed by revolving the region bounded by y=x^3, x=2 and y=1 about the y-axis. Please help =(

asked by Hannah on May 26, 2011
84. ## calculus

Find the volume of the solid generated by revolving the region delimited by 5x+5y=40, y=0, and x=0 about the x-axis.

asked by Jess on December 8, 2011
85. ## Math

Find the volume of the solid generated by revolving the region bounded by y=x+(x/4), the x-axis, and the lines x=1 and x=3 about the y-axis. I've drawn the graph and I understand which part is being rotated, but I'm having trouble setting up the equation.

asked by Eliana on April 30, 2015
86. ## 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.

asked by mary on March 23, 2010
87. ## 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

asked by Desperate Student on April 20, 2016
88. ## 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.

asked by me on October 31, 2010
89. ## Calculus

Let f and g be the functions given by f(x)=1+sin(2x) and g(x)=e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g. A. Find the volume of the solid generated when R is revolved around the line y=pi. B. Fine the volume

asked by Anonymous on April 19, 2015
90. ## calculus

let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3 - 4. a) find the area of R b) the horizontal line y = -2 splits the region R into parts. write but do not evaluate an integral expression for the area of the part of R that is

asked by sarah on May 20, 2008
91. ## math

let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3 - 4. a) find the area of R b) the horizontal line y = -2 splits the region R into parts. write but do not evaluate an integral expression for the area of the part of R that is

asked by ana on May 20, 2008
92. ## Calculus - Integrals

Find the volume of the solid of revolution obtained by revolving region bounded by the parabolas 2y=x^2 and y^2=4x about the x-axis

asked by Anonymous on December 2, 2016
93. ## calculus

Use the shell method to find the volume of the solid generated by revolving the plane region about the line x = 9. y = 7x − x2 y = 0

asked by DER23849 on January 24, 2012
94. ## Math calculus 2

Find the volume of the solid generated by revolving the region enclosed by the curves y=5*(sqrt(x)), y=0, and x=2 about the line x=9.

asked by James on February 15, 2018
95. ## Calculus

Find the volume of the solid generated by revolving the region enclosed in the triangle with vertices (4.6,4.6), (4.6,0), (6.7,4.6) about the x-axis.

asked by George on September 16, 2008
96. ## Calculus - Volume By Integration

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the y-axis: y=(x-2)^3-2, x=0, y=25 Solve by either the disk or washer method. I calculated the volume using the shell method and got 1250pi. However,

asked by Nicole on November 25, 2013
97. ## Calculus

The following are about an infinite region in the 1st quadrant between y=e^-x and the x-axis. A) Find the area of the region B)Find the volume of the solid generated by revolving the region about the y-axis

asked by Tim on April 27, 2014
98. ## 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.

asked by Taeyeon on March 9, 2012
99. ## math

Let S be a region bounded by the curve y=x+cosx and the line y=x as shown in the given figure. Find the volume of the solid generated when S is rotated about the x-axis. Find the volume of the solid generated when S is rotated about the y-axis.

asked by ani on May 20, 2015
100. ## calc

Find the volume of the solid generated by revolving the given region in the 1st quadrant about the y-axis: y=10x^2,x=0,y=810.

asked by Sarah on June 29, 2016