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 xaxis
118,368 results
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.

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.

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)

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 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
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
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

calculus
1. Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = sin(x), y = 0, π/2 ≤ x ≤ π; about the x−axis 2. Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 3

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

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 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=?????

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
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y= 2e^(−x), y= 2, x= 6; about y = 4. How exactly do you set up the integral? I know that I am supposed to use the washer method but I

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
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
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 yaxis.

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

calc
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=0, y=cos(7x) , x=π/14, x=0 about the axis y=−8

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 yaxis

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 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
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 xaxis. Not sure how to do this one, could anybody help me identify what this looks like and how to identify 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
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 the given curves about the specified axis. y=0, y=x(3x) about the axis x = 0

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 xaxis

Calc
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 xaxis

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 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

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 curves y=x and y= √𝒙 about the xaxis

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

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

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
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
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 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 :(

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
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.

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

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.

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 =

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
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 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 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
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 axis. x+y=4,x=5−(y−1) 2 ;

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

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.

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
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 line. x = 1−y^4, x = 0; about x = 1.

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

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.

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

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
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 the curves y=x^4,y=1 about the line y=4 . Answer:

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

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 = ????

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

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 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=?

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 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
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 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
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!! =(

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

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 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

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
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,

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,

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

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?

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 yaxis

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 yaxis

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 xaxis

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 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,x=y^2 about the axis x=–7

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

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

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 xaxis

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 yaxis

calculus  please help!
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 xaxis.

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 yaxis.

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x= 1/√(x) , 1

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

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 yaxis.

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!!

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

Math
Find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis? 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 

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

Calculus
Find the volume of the solid obtained by rotating the region bounded by the curves: y = x^2 and x = y^2 about the line y = 1. I received the answer pi/30, using the outer radius of (1  x^2) and the inner radius of (1  x^(1/2)). Is this correct?

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 yaxis. I am able to find the volume of other questions, but this one got me stumped. I tried drawing out the graph,

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 yaxis. I am able to find the volume of other questions, but this one got me stumped. I tried drawing out the graph,