Question

Find the volume of the solid generated by revolving the region enclosed by the triangle with vertices(3,1),(3,5), and(6,5) about the y-axis.

Answer #1

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Find the volume of the solid generated by revolving the region
enclosed by the triangle with vertices(3,3), (3,4), and(6,4)about
the y-axis.
Type an exact answer, using pi as needed.

Find the volume of the solid generated by revolving the region
bounded by the graphs of y = e x/4 , y = 0, x = 0, and x = 6 about
the x−axis.
Find the volume of the solid generated by revolving the region
bounded by the graphs of y = √ 2x − 5, y = 0, and x = 4 about the
y−axis.

3.
(a) Find the volume of the solid generated by revolving the
region bounded by the graphs of the given equations around the
x-axis.
? = 0, ? = ? 3 + ?, ? = 1
(b) Find the volume of the solid generated by revolving the
region from part (a) around the y-axis

Use the shell method to find the volume of the solid generated
by revolving the region bounded by y=3x-2, y=sqrt.x, and x=0 about
the y-axis.
The volume is in cubic units.

Find the volume of the solid generated by revolving the region
bounded by the graphs of the equations about the
x-axis.
y = 1 / sqrt of (7x+3)
x = 0
y = 0
x = 7

Find the volume of the solid generated by revolving the region
bounded by y = 1sqrtx and the lines y = 2 and x = 0 about:
(a) the x -axis. Volume is
(b) the y -axis. Volume is
(c) the line y = 2 . Volume is
(d) the line x = 4 . Volume is

Find the volume of the solid generated by revolving the region
bounded by y = 2x−x2 and y = x about; (a) the y-axis (b) the line
xr = 1.

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 =
9 - x^2 , below by the x-axis, and on the right by the y-axis,
about the line x=1.
Please write as legible as possible and thanks for the help.

Find the volume of the solid generated by revolving the region
bounded by y = sqrt(x) and the lines and about y=2 and x=0
about:
1) the x-axis.
2) the y-axis.
3) the line y=2.
4) the line x=4.

there are 5 parts to this question
1.Find the area of the region R enclosed by the graphs of y = x
2 , the y-axis and the line y = 4
2.Find the volume of the solid generated by revolving the region
in problem 1 about the x-axis.
3.Use the cylindrical shell method to find the volume of the
solid generated by revolving the region in problem 1 about the
y-axis.
4.Find the volume of the solid generated by...

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