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# What is VOLUME OF SPHERE INSCRIBED IN CUBE?

Best Answer: V_cube= L^3 V_sphere= 4/3 pi r^3 now since the sphere is inside of the cube, the r=1/2 L V_sphere= 4/3 pi (1/2 L)^3 V_sphere= 4/3 pi 1/8 L^3 V_sphere= 1/3 pi 1/2 ...
A cube is inscribed in a sphere with diameter 9 inches. ... The volume of the cube= 6.383^3=260.057. Source(s): Yahoo answers to get the first statement. 1 year ago; Report Abuse; by Randy P. Member since: March 10, 2009 Total points: 186,052 (Level 7)
What is VOLUME OF SPHERE INSCRIBED IN CUBE? Mr What will tell you the definition or meaning of What is VOLUME OF SPHERE INSCRIBED IN CUBE
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The figures below are, from left to right, a cylinder inscribed in a sphere, a sphere inscribed in a cube, and a rectangular solid inscribed in a sphere. ... you may be given the radius of a cylinder and then be asked to find the volume of the other solid using the figure as your guide.
http://www.sparknotes.com/testprep/books/sat2/math2c/chapter7section4.rhtml
Hi, A cube with volume 8 cubic centimeters is inscribed in a sphere so that each vertex of the cube touches the sphere. What is the length of the
http://mathhelpforum.com/algebra/168393-cube-inscribed-sphere.html
Best Answer: If the sphere has radius, r, then its diameter is 2r So the cube has length of side, 2r, so its volume is 8r^3. As the sphere has volume 4/3.pi.r^3, the ratio is ...
Given a cube with a side length S the volume (V) of an inscribed sphere can be found by substituting the formula for finding the R adius of an inscribed sphere into the formula for finding the V olume of a sphere.
http://www.volumeofcube.com/inscribed-sphere-volume
inscribed sphere ... 013 Insciribed and circumscribed sphere about a cube - volume comparison; 014 Water poured into a jar of marbles; 015 Two unequal balls inside the cylinder; 016 Radius of the sphere circumscribing a regular triangular pyramid;
Who is asking: Student Level: All Question: A cube is inscribed inside a sphere with radius sqrt8cm. Find the (a) length of the cube (b) volume of the space inside the sphere but outside the cube.
http://mathcentral.uregina.ca/QQ/database/QQ.09.03/mm1.html
Best Answer: What is the volume of the largest sphere that can be inscribed in a cube of edge 20 inches? The diameter of the cube is 20in ( Which also happens to be the ...
If A sphere is inscribed in a cube what is the ratio of the volume of cube to the volume of sphere? ChaCha Answer: The ratio of volum...
http://www.chacha.com/question/if-a-sphere-is-inscribed-in-a-cube-what-is-the-ratio-of-the-volume-of-cube-to-the-volume-of-sphere
For most practical purposes, the volume of a sphere inscribed in a cube can be approximated as 52.4% of the volume of the cube, since . For example, since a cube with edge length 1 m has a volume of 1 m 3, a sphere with diameter 1 m has a volume of about 0.524 m 3.
http://en.wikipedia.org/wiki/Hemispherical
There's more than one way we can apply it here; we can compare the volume of a sphere with cubes, cones, and cylinders in various ways. More ... We'll do this by subtracting the sphere from the cube. We'll first inscribe a sphere withing a cube . We'll then ...
http://physicsinsights.org/sphere-volume-1.html
A cube is inscribed inside a sphere, the radius of the sphere is 6. What is the volume of the cube? Answer: 192 * Square ...
http://www.mymathforum.com/viewtopic.php?t=3924&p=15138
The cube has a volume of 8cm^3, so it's side is 2cm. The diameter of the cube is the same as the diagonal length of the﻿ cube, from one vertex to its opposite vertex.
How to Inscribe a Sphere in a Cube. Inscribing is the process of enclosing a two- or three-dimensional body within another body. To fulfill the requirements for inscribing, the shell of the inner body must touch the outer body. ... Formula for Finding the Volume of a Sphere.
http://www.ehow.com/how_8475710_inscribe-sphere-cube.html
volume of the cube - volume of the sphere = volume enclosed between the cube and sphere
The Beat The GMAT Forum - Expert GMAT Help & MBA Admissions Advice : Sphere is inscribed in a cube
http://www.beatthegmat.com/sphere-is-inscribed-in-a-cube-t37688.html
if the diameter of the sphere is 9in., what is the volume of the cube? Why?
... the tetrahedron formed by a vertex of a cube and its three neighbors has the same circumsphere as the cube itself, ... The volume of sphere circumscribed around a polyhedron is therefore: ... the inscribed sphere or insphere of a convex polyhedron is a sphere that is ...
http://math.wikia.com/wiki/Circumscribed_sphere
A sphere is inscribed in a cube with an edge of 10. What is the shortest possible distance from one of the vertices of the ...
http://gmatclub.com/forum/a-sphere-is-inscribed-in-a-cube-with-an-edge-of-10-what-is-127461.html
I've tried working things like this out before now and its usually not that easy. Here's how I'd go about it for a tetrahedron. If you take an ordinary cube, and pick two vertices diagonally opposite each other on one face, and the other two vertices diagonally opposite each other on the ...
http://mathhelpforum.com/geometry/95231-volume-sphere-inscribed-within-tetrahedron.html
Mathematics > General Math ... Can anyone help me with this problem? Suppose a sphere is colored in two colors: 10% ... This may have many solutions, provided the white paint ...
The figures below are, from left to right, a cylinder inscribed in a sphere, a sphere inscribed in a cube, and a rectangular solid inscribed in a sphere. ... , and then be asked to find the volume of the other solid, say a rectangular solid. Using the figure as your guide, ...
http://www.sparknotes.com/testprep/books/sat2/math1c/chapter7section4.rhtml
please help! im stuck! ... Welcome to Math Homework Answers - Math Homework Answers is a math help site where students, teachers, and math lovers can ask and answer math homework questions to help create a useful fun math community.
What is the formula for the volume of a Cube? V = S 3. What is the formula for the volume of a Rectangular Prism? V = L x W x H. ... Volume Diagonal Length; Inscribed Sphere Radius; Sphere Tangent to Edges Radius; Circumscribed Sphere Radius; Inscribed Sphere Volume;
Best Answer: side of cube = a longest diagonal of cube (L) base diagonal square = a^2 + a^2 L^2 = (a^2 + a^2) + a^2 = 3 a^2 L = a root 3 when cube is in, longest diagonal will ...
The Beat The GMAT Forum - Expert GMAT Help & MBA Admissions Advice : Sphere inscribed in a cube
http://www.beatthegmat.com/sphere-inscribed-in-a-cube-t94207.html
A cube has a sphere inscribed inside of it. It has another sphere circumscribed on the outside ot if ... Solution Summary. The ratio of volume of a sphere to a cube, where the sphere is inside of the cube, is calculated. The solution is detailed and well presented.
http://brainmass.com/math/geometry/34909
A bigger cube is circumscribed outside a sphere, while a smaller cube is inscribed in the same sphere - just as ... What is the volume of the smaller cube, if the bigger one's volume is 1? Posted: March 23, 2008: Puzzle: Solution: Download
http://www.puzzles.com/PuzzlePlayground/SphereBetweenCubes/SphereBetweenCubes.htm
Sphere Inscribed in a Cube. Small. 320×220. Medium. 640×439. Large. 1024×703. Download Tiff. Original. 2400×1648 | (2.0 MB) Description. Illustration of a sphere inscribed in a cube. Keywords. circumscribed, cube, cubes, geometry shapes, inscribed sphere, shape, solid, solids, spheres.
http://etc.usf.edu/clipart/42200/42278/spherecube_42278.htm
A sphere is inscribed in a cube with edge 10. The sphere touches the edges of the cube What is the shortest distance from any ...
http://gmatclub.com/forum/cube-sphere-100798.html
... the tetrahedron formed by a vertex of a cube and its three neighbors has the same circumsphere as the cube itself, ... Circumscribed circle; Midsphere; Inscribed sphere; Bounding sphere; External links . Weisstein, Eric W. MathWorld Retrieved ...
http://en.wikipedia.org/wiki/Circumscribed_sphere
SOLUTION: A cube is inscribed in a sphere with diameter 9 inches. What is the volume of the cube?
http://www.algebra.com/algebra/homework/Volume/Volume.faq.question.589243.html
A cylinder is inscribed in a cube. That cylinder has a sphere inscribed inside of it. What is the ratio of the volume of the sphere to the volume of the cube? HINT: Let X be a side of a square on the cube.
http://brainmass.com/math/geometry/34916
Question from Glenn: Given the diameter of the sphere 10cm. find the largest cube inscribe in the sphere.
http://mathcentral.uregina.ca/QQ/database/QQ.02.06/glenn2.html
If a sphere is inscribed in a cube, how many faces of the cube are tangent to the sphere? ChaCha Answer: ... What is the volume of the sphere to the nearest tenth if a sphere is inscribed in a cube whose volume is 1728 cubic millimeters?
http://www.chacha.com/question/if-a-sphere-is-inscribed-in-a-cube%2C-how-many-faces-of-the-cube-are-tangent-to-the-sphere
Best Answer: The sphere's radius is the length of the side of the cube. The volume of a sphere is (4/3) * pi * radius^3. Let radius = 1. Then the volume of the sphere is (4/3 ...
This problem was in a Basic Math book, so please be simple. A cube is inscribed by a sphere with a 1-m diameter. How much more volume is in rh sphere?
http://www.sosmath.com/CBB/viewtopic.php?p=35305
A cube with a volume 8 cubic centimeters is inscribed in asphere so that each vertex of the cubes touches the sphere. What isthe length of the diameter in centimeters of the sphere ?
Cylinder Inscribed in a Sphere, Sphere Inscribed in a Cube, and Sphere Inscribed in a Cylinder. Entrytest.Com: SBS - Student Benefit Service: College of ... and then be asked to find the volume of the other solid, say a rectangular solid. Using the figure as your guide, you ...
http://www.entrytest.com/mathematics/chapter7section4.aspx
Best Answer: Sphere V = (4/3)(pi)(r^3) 2304(pi) = (4/3)(pi)(r^3) 2304/(4/3) = r^3 2304(3/4) = r^3 1728 = r^3 r = 12 r = s/2 s = 24 Cube V = s^3 = 13,824 Unfilled space = Vc ...
Find the radius of the sphere inscribed in.. a) a cube having unit side. b) a regular tetrahedron havig unit side. c) a regular octagedron having unit side
Now you'll find the cylinder's radius, for any size sphere, that will give the greatest volume. 3. Solve using differentials. If V = (pi)x^2h -- by definition for volume -- then dV/dx = 2(pi)xh +(pi)x^2 dh/dx. 4. ... How to Inscribe a Sphere in a Cube.
http://www.ehow.com/how_8509389_inscribe-shape-sphere.html
So, interestingly, just as the diameter of the sphere is 1.382 times the width of the cube, the volume of the sphere is 1.382 times the volume of the cube. Unfortunately, I cannot find anything more than coincidence in that. I ...
The area of a dodecagon inscribed in a circle of radius R is 3R^2. So, here R=1, ... Volume of cube minus volume of cylinder Side^3 - (Area of circle * side) 84^3 - (&#960; * 34^2 * 84) = ? Monday, March 22, 2010 at 8:41pm by PsyDAG. geometry
http://www.jiskha.com/search/index.cgi?query=cylinder+inscribed+unit+cube+find+ratio+area+to+volume&page=2
Number of results: 81,740 math calculate ratio of the area to volume for unit cube, a unit sphere inscribed inside the cube and as right cylinder inscribed inside the cube
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What is the ratio of the volume of a cube to the volume of its inscribed sphere?