Since
volume = 1/density x mass
and as the rock is uniform it has a constant density, the volume is directly related to the mass; meaning that since the mass of the second is 5 times as big as that of the first, the volume of the second is also 5 times as big as that of the first.
The ratio of volumes is the cube of the ratio of lengths; so the lengths are in the ratio of the cube root of the ratio of the volumes. The ratio of the volumes in this case is 1:5 giving the ratio of the lengths as 1:3√5
So the second radius is 3√5 (≈ 1.71) times as big as the first, making it 4.50 cm x 3√5 ≈ 7.69 cm.
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.
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:
It is crucial to measuring circles, spheres, etc. 3.1415926535897932384626433832795028841 (cont.)
It is a sequence of numbers that represents how many spheres you would have in a pyramid of different heights.
24
Pi is used in many different places.The most obvious one is to calculate several things related to circles and spheres: for example, calculate the circumference and the area of a circle if you know the radious, or calculate the surface area and the volume of a sphere if you know the radious.Pi is also used in certain situations where there is no connection to circles. For example, in certain integrals (to calculate the area under certain functions).Pi is used in many different places.The most obvious one is to calculate several things related to circles and spheres: for example, calculate the circumference and the area of a circle if you know the radious, or calculate the surface area and the volume of a sphere if you know the radious.Pi is also used in certain situations where there is no connection to circles. For example, in certain integrals (to calculate the area under certain functions).Pi is used in many different places.The most obvious one is to calculate several things related to circles and spheres: for example, calculate the circumference and the area of a circle if you know the radious, or calculate the surface area and the volume of a sphere if you know the radious.Pi is also used in certain situations where there is no connection to circles. For example, in certain integrals (to calculate the area under certain functions).Pi is used in many different places.The most obvious one is to calculate several things related to circles and spheres: for example, calculate the circumference and the area of a circle if you know the radious, or calculate the surface area and the volume of a sphere if you know the radious.Pi is also used in certain situations where there is no connection to circles. For example, in certain integrals (to calculate the area under certain functions).
Provided they are the same thickness, the larger sphere will have a radius of 10.165cm
Music of the Spheres
And what is the question?
You have to fight the Greater Sphere in the monster arena. If that doesn't work fight the Earth Eater. Make sure your last hit is max damage so you can overkill it and get 2 spheres. Happy Hunting.
actually bubbles can be almost any shape, it depends on how it is built up, or how it was blown. or your question may be how come bubbles cant be spheres in which case it can be.
I might be missing the point of this question, but surely the "dark spheres" are just spherical moons. The obvious answer is Jupiter, because it has several such moons.
The sphere made from the least dense material. If this is for a specific math problem, you may have to calculate density by dividing mass / volume for each sphere. The question could be about the "four spheres of the Earth" : Atmosphere Biosphere Hydrosphere Lithosphere. In that case the answer is the "atmosphere".
The scope of business policy usually defines the spheres at which certain decisions can be taken by the subordinates in a given business.
The question is based on a false premise, and so cannot be answered.
The Sun, Earth and the Moon are all oblate spheroids. Meaning their equatorial diameter is greater than their polar diameter.
Congruent spheres