Question

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.

Answer #1

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.

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.

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 shell method to find the volume of the solid generated
by revolving the region bounded by the given curves about the give
line. (a) Graph the region (b) Graph the solid (c) Sketch a typical
shell. (d) Determine the variable of integratoin (e) Draw and label
the radius and height of the shell. Describe their length. (f) Find
the volume.
y = 4x, y = 0, x = 2; revolve about the line x = -3

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
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 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=?

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

Use the method of cylindrical shells to find the volume of the
solid found by revolving the region bounded by y=2x and y=x^2 about
the y-axis.
For full credit, I expect to see the following: A graph of the
bounded region between the two functions. A representative
cylinder. Algebraic solutions for points of intersection. You won’t
get full credit if you only write the points of intersection
without showing the algebra. The set up for the integral(s).
Anti-derivative(s). Work and/or...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 14 minutes ago

asked 14 minutes ago

asked 45 minutes ago

asked 56 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago