Question

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by x = − 3 y 2 + 12 y − 9 , x = 0 about the x-axis.

Answer #1

Use the method of cylindrical shells to ﬁnd the volume of the
solid obtained by rotating the region bounded by the circle x2 +
(y−2)2 = 1 about the x-axis.

Use cylindrical shells to find the volume of the solid obtained
by rotating the region bounded on the right by the graph of
g(y)=9√y and on the left by the y-axis for 0≤y≤8, about the x-axis.
Round your answer to the nearest hundredth position.
V=?

Find the volume V of the solid obtained by rotating the
region bounded by the given curves about the specified line.
y = 5x4, y = 5x, x ≥
0; about the x-axis
Find the area of the region enclosed by the given curves.
y = 3 cos(πx), y = 12x2 −
3
Find the volume V of the solid obtained by rotating the
region bounded by the given curves about the specified line.
2x = y2, x = 0, y =
5; about the...

Use the method of cylindrical shells to find the volume
V generated by rotating the region bounded by the given
curves about the specified axis.
y = ex, x = 0, y = 7π; about
the x-axis

Use the method of cylindrical shells to find the volume
V generated by rotating the region bounded by the given
curves about the specified axis.
y = 11
sqrt(x), y =
0, x =
1; about x = −4

Use the method of cylindrical shells to find the volume of the
solid created by rotating the region bounded by ? = ?^(−(?−4)^2) ,
? = 0, ? = 4, and ? = 5 about the line ? = 3. Sketch the region, a
typical shell, and label the height and radius of the shell. After
you set up in the integral, use technology and round your answer to
three decimal places.

Using the Method of Cylindrical Shells, find a definite integral
that gives the volume V of the solid S obtained by rotating the
region R bounded by curves: y=sqrt[x] ,and y=0 about the
x-axis.
There is a 3rd line at x=4

Use the method of cylindrical shells to find the volume
generated by rotating the region bounded by the given curves about
the y-axis.
y=12x-3x2, y=3x

Use the method of cylindrical shells to find the volume
generated by rotating the region bounded by the given curves about
the y-axis.
y =
4x2, y
= 24x − 8x2

1- Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis.
?= 64x− 8x^2, y=0;
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= 5+ 1/x^2, y= 5, x=2, x=9;
about the x-axis.

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