# Items tagged with volumevolume Tagged Items Feed

### Volume of solid of revolution? ...

January 26 2016
1 1

I saw a presentation Calculus 1 -- I'm pretty sure it was Maple -- that showed how to set up a volume of solid of revolutionvisually rotated the region and looked at it from different points of view.

Is there someplace I could go to find out ho0w to do that.  I am new and in experienced in using Maple.

Tim Wisecarver

Georgetown preparatory School

twisecarver@gprep.org

### Questions re an irregular solid angle...

October 20 2015
2 8

The downloaded worksheet below displays 3 points on the unit sphere which define a solid angle with a triangular face. The sides of the solid angle's are red arcs on the surface of the sphere and red radii which outline the planar sides within the sphere.

Three questions:

1. Is there a way to make the surfaces of the solid triangle more apparent by filling them with color?

2. Is there a way to calculate the area of the face on the surface of the sphere?

3. Is there a way to calculate the volume of the solid triangle?

### Surface/volume of revolution in polar coords...

September 09 2015
0 4

Hi there,

How can we pl0t the volume or surface of revolution of cardioid r=1-cos(\theta) about  polar axis or the vertical axis in maple14.

Any help will be appreciated.

M.R.Yegan

### How can I plot the volume of revolution of the reg...

July 01 2015
0 3

How can I plot the volume of revolution of the region between the curves y=ln(x) and y=-ln(x)on the interval [1,e]

around the y-axis.please specify the command. I used the command: VolumeOfRevolution(ln(x),-ln(x), x=1..e, scaling=constrained,axis=vertical,output=plot). But this command only plots the revolution of the curves not the region between them.

Best Regards

Yegan

### How to find the volume...

May 09 2015
0 14

of the cut-off sphere

?

Of course, with Maple.

### How to draw 3D graph from 4 variables ...

September 16 2014
1 6

How can I plot a volume (many surfaces) in X,Y, Z axis where X,Y,Z are functions in 4 variables (a,b,c,d), and the domain for the 4 variables are

-90<=a>=90, -10<=b>=10, -12<=c>=12, -90<=d>=0,

X := proc (a, b, c, d) options operator, arrow; 324.*cos(b)*sin(c)*cos(d)+324.*sin(b)*sin(d)+323.5*cos(b)*sin(c) end proc

Y := proc (a, b, c, d) options operator, arrow; (324*1.*sin(a)*sin(b)*sin(c)+324*1.*cos(a)*cos(c))*cos(d)+(-1)*324.*sin(a)*cos(b)*sin(d)+323.5*sin(a)*sin(b)*sin(c)+323.5*cos(a)*cos(c)-100 end proc

Z := proc (a, b, c, d) options operator, arrow; (324*cos(a)*sin(b)*sin(c)-324*sin(a)*cos(c))*cos(d)-324*cos(a)*cos(b)*sin(d)+323.5*cos(a)*sin(b)*sin(c)+(-1)*323.5*sin(a)*cos(c)+150 end proc

### Find the volume contribution x^2+y^2=z and x^2+y^2...

December 28 2013
2 2

I want to find  the volume contribution x^2+y^2=z and x^2+y^2=2x over xy with Maple.

### Area Between Several Curves...

February 08 2013 Maple 16
1
2

I was thinking about the area problem, yet again, and found myself asking the question: why must we go through such elaborate means to get Maple to generate a plot of the region between two (or more curves)? I use the word elaborate to describe any process that would might become overwhelming, for, say a student, to go through to accomplish a task. Anyone with the most basic of backgrounds can understand the area problem, but yet, such an individual might not find it a trivial...

### Minimize of sides in a volume...

November 20 2012
0 2

We have a task her that I hope someone can help us with.

The task is to build a steel frame to a tent.  The frame consists of four legs with X length and a rectangle on the top with sides Y and Z.  The lengths are measured in meters.
The volume V=X*Y*Z of the tent has to be 32 m3.  The task is to create the tent so that the total length L of the pipe is minimized to the shortest.

L=4x+2y+2z

Thx for all fast help :D

...

### I am in desperate need of assisstance in solving t...

November 14 2012
0 1

1. a)given ∫(0..4)∫(√x..2) of sin(pi)*y^3 dydx, graph the region, R, in the xy plane.

b)Write double integral which reverses the order of integration and then evaluate.

2. Find centroid of cardioid of region enclosed by cardioid r=1-sin(theta)

3. a)Graph wedge cut from cylinder x^2+y^2=9, and by planes, z=-y, and z=0, and above the xy plane.

b)Write the integral which finds the volume of the wedge and evaluate it.

### getting traditional colors from VolumeOfRevolution...

October 09 2012
0 4

The new VolumeOfRevolution command in the Student[Calculus1] package has lots of nice features for controlling the output (Riemann sum, 3D plot, animation, inert integral, numerical approximation, ...).

The default colors for the plot are not very appealing. Not only is the pink easily washed out by a projector in a moderately light room, but the detail is missing. To illustrate, consider

with(Student[Calculus1]):VolumeOfRevolution(2-x^2, x, x=0..1, output=plot );

### Volume with Maple?...

June 22 2012
0 6

How to find the volume of the intersection of the sphere {(x, y, z): x^2+y^2+z^2 <= R^2 } and
the set {(x, y, z): |x| <= a, |y| <= a } under the assumptions R > a*sqrt(2) and a > 0?

### plotting a volume of data - densityplot3d ?...

February 29 2012
3 3

I have the following problem. Two formulas in three variables represent the costs of algorithms. I want a visual of their ratio, so that I can "see" how their relative performance varies. Here is a simple example. I can analyze this example analytically, but you can't always do that.

R := sum(binomial(n+i*d,n),i=1..k-1);
S := binomial(n+k*d,n);
f := unapply(R/S, n, d, k);
A := Array(1..10,1..10,1..10,f,datatype=float[8]);


I want a 3-dimensional rendering...

### Calculating volume of parallelepiped...

November 04 2011
0 4

Ive tried several commands, but none of them will give me a response

Here are the points im working with:

u = (2, -3, 1), v = (-4, 3, 3), w = (2, 4, 6)

And here are the several commands ive tried to use, with "with(LinearAlgebra), with(geom3d)" implemented before:

1.

volume([2, -3, 1], [-4, 3, 3], [2, 4, 6], parallelepiped)

> with(plots, display);> volume;
display(parallelepiped, axes = normal, scaling = constrained, orientation = ...

### How can I create an ellipse and an ellipsoid?...

August 12 2011
0 4

I need to create an ellipse and an ellipsoid (ellipse in 3D) through code. How would I be able to do this? Can someone please give me an example for each?

Also, I will need to create a line for an ellipse and a plane for an ellipsoid that intersect. Would I be able to find the intersecting points? Would I be able to find the function for the curve line that is created when a plane intersects an ellipsoid? Also, how would I find the surface area and volume...

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