Calc2

posted by .

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

  • Calc2 -

    Hint: use the disk method
    Find the intersection of x² and y=6, which is x=±sqrt(6).
    You may want to integrate with x=-sqrt(6) to +sqrt(6)
    πf(x)^2 dx [equiv. to πr²]
    where
    f(x)=x²-1 [i.e. from y=1 to y=x^2]

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. 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 …
  3. 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
  4. 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
  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=–7
  6. 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
  7. 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 …
  8. 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
  9. 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.
  10. 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

More Similar Questions