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 yaxis V=?????
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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.

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 xaxis. x + y = 3, x = 4 − (y − 1)^2

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

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

calculus
Consider the solid obtained by rotating the region bounded by the given curves about the xaxis. 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

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 yaxis. b) Find the volume of the solid obtained by rotating the region bounded by y = 4x^2, x = 1, and y = 0 about the xaxis. c)

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

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

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

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 xaxis. xy = 2, x = 0, y = 2, y = 4

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.

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 yaxis 2. Use the method of cylindrical shells to find the volume V generated by rotating the

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 yaxis V=?????

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.

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?

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

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

calculus review please help!
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

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 =

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.

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

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

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

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

Please help 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 = 5.

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?

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

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

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 xaxis V = ??? Sketch the region

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

Math Calc 1 Last question
Find the volume of the solid obtained by rotating the region bounded by the curves y=4xx^2, y=8x2x^2 about the line x=2. I got 256 pi/3 but pretty sure my work is wrong.

Calculus
Write the integral in one variable to find the volume of the solid obtained by rotating the firstquadrant 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

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 yaxis. Volume =

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 yaxis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis

Calculus
1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the yaxis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=18x6x^2 , y=0 : about the

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

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 xaxis. sketch the region and a typical shell. x=1+y^2, x=0, y=1, y=2

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 xaxis V = ????

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

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 xaxis. x = 1 + (y − 6)^2, x = 17

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 xaxis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated

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

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

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 yaxis

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 xaxis

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 xaxis. xy=1, x=0, y=1, y=3

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 xaxis; 3) Find the volume of the solid obtained by

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

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

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.

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

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

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

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:

Calculus
Write the integral in one variable to find the volume of the solid obtained by rotating the firstquadrant region bounded by y = 0.5x^2 and y = x about the line x = 5.

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 xaxis. y= 20sqrt y, x=0, y=1

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 xaxis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated

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.

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

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.

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

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 ;

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=

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

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=9x^2; about y=1

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

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

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 xaxis.

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 yaxis i am confused because i do not know how to set it up because

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 ((1y)^2 (10)^2) right? so then you integrate it and get pi(Y^3/3y^2) from

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 xaxis. x = 3 + (y − 5)^2, x = 12

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!! =(

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

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

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

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.

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 yaxis.

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.

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

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

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

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

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

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

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

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

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

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.

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.

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 =

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=?

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 xaxis

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 xaxis

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 =

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

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 = 2x^2 about the

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

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

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

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