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In maths what is Pi used for?
pi is used to work out things like the circumference (length around the outside) of a circle from the diameter (length from side to side (pi x d). It can also work out a circle's area (2pi x r(radius)), and much more with spheres and cylanders etc.
Do congruent spheres have equal surface areas?
Two spheres that are congruent are the same size and shape. Therefore, they would have the same surface area. So this statement is always true.
Why are spheres rarely used for packaging?
To form an A-B-A-B-... hexagonal close packing of spheres, the coordinate points of the lattice will be the spheres' centers. Suppose, the goal is to fill a box with spheres according to hcp. The box would be placed on the x-y-z coordinate space.First form a row of spheres. The centers will all lie on a straight line. Their x-coordinate will vary by 2r since the distance between each center if the spheres are touching is 2r. The y-coordinate and z-coordinate will be the same. For simplicity, say that the balls are the first row and that their y- and z-coordinates are simply r, so that their surfaces rest on the zero-planes. Coordinates of the centers of the first row will look like (2r, r, r), (4r, r, r), (6r ,r, r), (8r ,r, r), ... . The sphere centered at x = 0 is immediately omitted because part of the sphere would lie outside.Now, form the next row of spheres. Again, the centers will all lie on a straight line with x-coordinate differences of 2r, but there will be a shift of distance r in the x-direction so that the center of every sphere in this row aligns with the x-coordinate of where two spheres touch in the first row. This allows the spheres of the new row to slide in closer to the first row until all spheres in the new row are touching two spheres of the first row. Since the new spheres touch two spheres, their centers form an equilateral triangle with those two neighbors' centers. The side lengths are all 2r, so the height or y-coordinate difference between the rows is . Thus, this row will have coordinates like this:
Why is pi so important?
It is crucial to measuring circles, spheres, etc. 3.1415926535897932384626433832795028841 (cont.)
What is a pyramidal number sequence?
It is a sequence of numbers that represents how many spheres you would have in a pyramid of different heights.
Consider eight little spheres of mercury each with a diameter of 1mm When they coalesce to form a single sphere how big will it be How does its surface area compare with the total surface area of?
The total volume of the new sphere will be 4 times less than the sum of all eight individual volumes. The total surface area will be about half than the total surface area of all individual balls.
How do you find the diameter of water?
Only circles (or spheres) have a diameter
How many 100 mile diameter spheres would it take to blanket a 9000 mile diameter sphere with each sphere touching the 6 nearest spheres?
You cannot blanket a large sphere wit smaller spheres because spheres cannot tessellate. There are always gaps between adjacent spheres and so no blanketing is possible.
Do cubes have a diameter?
In basic terms...no. A diameter only applies to circles or spheres. The diameter is the distance across the middle at the widest point and the radius is half of the diameter.
Does mercury have any similarities to the earth?
They're both spheres.
Does a planet have its own diameter?
Kind of. All spheres and circles have a diameter, which is the length of a line passing through the center of the sphere. The only problem is that most planets aren't 100% perfect spheres, so the diameter could be different depending on where you start measuring from.
Does the mass of two similar diameter spheres affect the acceleration down a ramp?
Yes
Are All diameters chords in a circle?
A diameter is a cord in a circle containing the center of the circle. But some circles are sections of spheres. Not all diameters are diameters of spheres.
When making a snowman with an 18 inch diameter top sphere and a ratio of 1 to 2 to 3 in the diameters of the other spheres what will the diameters of the other spheres be?
If you have an 18 inch diameter sphere on top, you'll have a 36 inch diameter sphere in the middle and a 54 inch diameter sphere on the bottom. 18 x 2 = 36 and 18 x 3 = 54
Is the earth moon and sun all spheres?
The Sun, Earth and the Moon are all oblate spheroids. Meaning their equatorial diameter is greater than their polar diameter.
When 8 spheres with a diameter of 1mm coalesce to form a single sphere how big will it be?
When 8 spheres with a diameter of 1mm coalesce into a single sphere, the diameter of the new sphere will be equal to the sum of the diameters of the original spheres. Each original sphere has a diameter of 1mm, so the new sphere will have a diameter of 8mm.
How many 3 inch diameter spheres does it take to fill a 6 cubic yard volume?
Each sphere has a volume of about 0.0003 cubic yards and 6/0.0003 = 20,000 spheres
