There are 3 spheres on a table with one more stacked on top of the centre of the 3...?
611433
Not an answer, but a suggestion. Do some research on "Close Packing" of spheres, especially hexagonal sphere packing. You may find what you need.\n\nWhat you need is an angle.\n\nThe answer is going to be d = r + (2r)cos(theta) \n\nwhere theta is defined as follows:\n\nDraw line 1 connecting connecting the center of the 4th sphere with the center of one of the spheres in the bottom layer. Draw line 2 so that it goes through the center of the bottom sphere and through the point where it is tangent to the table top. Theta is the angle between those two lines. \n\nYou may be able to get theta from one of the sites dealing with sphere packing.
576892
You probably need more information...there can be multiple cylinders inscribed in a sphere with a radius of 5.
465409
keep it together, cut it in half, the stack the halves.  then cut it twice.  you will have 3 stacks of 4
960573
the answers that the above people have given are wrong. the circular table does matter. let's say A, B, C, D and E are the people around the table. if they were in a line, ABCDE would not be the same arrangement as BCDEA. But in a circle, they are the same. It is unfortunate that I have forgotten what the formula is. search for it on google and you should get some answers. \n\nhope i helped.
64832
You need to know the distance between the centers, because the circles could have different placements\n1- one inside the other\n2- doesn't intersect\n3- partly intersect
180803
Depends on the object. If you want to find the cube of a glass marble, you get 27 identical marbles and arrange 9 of them in a 3x3 square on a table, then add another layer of marbles arranged in a 3x3 square on top of the first layer, and finally a third identical layer on top of the other two. You then have a cube of marbles.\n\nIf you want to find the cube of a house or an elephant, you have a more difficult problem.
152387
polyhedron (pŏl'ēhē'drən) , closed solid bounded by plane faces; each face of a polyhedron is a polygon. A cube is a polyhedron bounded by six polygons (in this case squares) meeting at right angles. Although regular polygons are possible for any number of sides, there are only five possible regular polyhedrons, having congruent faces, each a regular polygon and meeting at equal angles. The five regular polyhedrons are also known as the Platonic solids, although they were known to the Greeks before the time of Plato. They are the tetrahedron, bounded by four equilateral triangles; the hexahedron, or cube, bounded by six squares; the octahedron, bounded by eight equilateral triangles; the dodecahedron, bounded by twelve regular pentagons; and the icosahedron, bounded by twenty equilateral triangles. The 18th-century Swiss mathematician Leonhard Euler showed that for any simple polyhedron, i.e., a polyhedron containing no holes, the sum of the number of vertices V and the number of faces F is equal to the number of edges E plus 2, or V+F=E+2
682954
pentagon-5\nhexagon-6\npolygon-many
1062775
See if this table will help. If not, you may just have to go back to where your textbook covers that or ask your teacher to explain.
801416
sphere none of the list\ncone one vertex and one face\ncylinder two faces-two circular edges
953114
Solid,liquid and gas.
270346
I don't get it.  It's an element.  You can't take elements off the table.
277462
Within your 3x3x3 cube, we have ten classes of rectangular prisms, including the two boundary cases of the whole cube and of the single cublet:\n1x1x1, 1x1x2, 1x2x2, 1x1x3, 1x2x3, 2x2x2, 2x2x3, 1x3x3, 2x3x3, 3x3x3.\n\nFor each prism class, we have to count all possible arrangements within the main cube. The contributes to this number are from translations, then from rotations (but only for non-symmetric prisms). If I'm not wrong, they are:\n1x1x1: 27\n1x1x2: 54\n1x2x2: 12\n1x1x3: 27\n1x2x3: 18\n2x2x2: 8\n1x3x3: 9\n2x2x3: 12\n2x3x3: 6\n3x3x3: 1\n\nTotal=174 prisms\n\nAs per your later addition, if we want to discard cubic prisms, we have: 174-27-8-1 = 138 non-cubic prisms.
492852
A table with: 4 legs\nA table with: 4 legs & 1 person's legs\nA table with: 4 legs & 2 persons' legs\nA table with: 4 legs & 6 persons' legs\n\nA table with people sitting around it
736433
This one is.. so the answer is 3
453357
you bet\nit's a 3d super complex puzzle =)
676849
Cylinder = PI r^2 x 6 r = 6PI r^3\nBalls = 4/3 x PI r^3 x 3 = 4 PI r^3\nratio = 4 PI r^3 / 6 PI r^3 = 4/6\n\nRatio = 2/3 of the space is used by the balls.