if the cube is inside the sphere you needto do some trigonometry and algebra to find out the height or diameter of the sphere. I have never heard someone ask what the height of the sphere is... i didn't think it existed. im pretty sure you need to know the diameter of the sphere.
since you didnt give me any numbers to work with this is going to be a confusing explanation.
first, the length of the diameter of the sphere is the same length as the length of one corner of the cube to the opposite diagonal corner of the cube.
second, you can find this length by applying pythagoreans theorem (a2+b2=c2).
third, since you know the height of the cube you need to find the length of the diagonal of one surface of the cube. you can do this by cutting one ofthe surfaces ofthe cubes into a triangle and using the pyth. theorem and solve for the diagonal. remember this number. now take this number and use the pyth. theorem again with the height of the cube and then ythis is the diameter of the sphere.
Find the area of the base
To determine empty space, we will assume that the sphere fits snugly(so that each side of the cube is touching the sphere). First, we take the volume of the cube, which is just one of its side lengths cubed(side length X side length X side length). Record this quantity. Then we find the volume of the sphere. The formula for the volume of a shere is (4/3) Pi r cubed. Since the sphere fits snugly, we know that the radius is half of the side length. We then take the cube volume and subtract the sphere volume, and that is the empty space remaining.
volume of a cube is length, by width by height. To calculate the volume of a cylinder you need to know the radius and the height and multiply.
multiply V by 3 then divide by 4pi , find the cube root of this, then square it and multiply by 4 pi
A square is two-demensional. Therefore, it has only width and length. However, a cube is three-demensional - length, width and height.If you have a cube and you know it length and height, you can calculate its width as follows.The volume of a cube is equal to the width x length x the height. Therefore, width equals volume divided by length x height.If a cube has a volume of 1000 and the length of the cube is 10 and the height is 10, then:1000 = L (length) x 10 x 10L = 1000 divided by 100, which equals 10
Find the area of the base
a cube has the same length width and height, hence is what makes it a cube. it is a perfect square all the way around, if you know one side, you will know the vertical
To determine empty space, we will assume that the sphere fits snugly(so that each side of the cube is touching the sphere). First, we take the volume of the cube, which is just one of its side lengths cubed(side length X side length X side length). Record this quantity. Then we find the volume of the sphere. The formula for the volume of a shere is (4/3) Pi r cubed. Since the sphere fits snugly, we know that the radius is half of the side length. We then take the cube volume and subtract the sphere volume, and that is the empty space remaining.
volume of a cube is length, by width by height. To calculate the volume of a cylinder you need to know the radius and the height and multiply.
multiply V by 3 then divide by 4pi , find the cube root of this, then square it and multiply by 4 pi
A square is two-demensional. Therefore, it has only width and length. However, a cube is three-demensional - length, width and height.If you have a cube and you know it length and height, you can calculate its width as follows.The volume of a cube is equal to the width x length x the height. Therefore, width equals volume divided by length x height.If a cube has a volume of 1000 and the length of the cube is 10 and the height is 10, then:1000 = L (length) x 10 x 10L = 1000 divided by 100, which equals 10
The change in solution volume will be the volume of the sphere. Let's call that V We know that the volume of a sphere is 4/3 Pi x r^3 So the cube root of 3v/4Pi is the radius, double it and you have the diameter. OR Volume of sphere is 1/6 Pixd^3 so 6V/Pi is the diameter cubed. Take the cube root of 6V/Pi and that is the diameter.
The cube is bigger. The sphere is 3 cm across only at its middle, it is smaller everywhere else; whereas the cube is 3 cm across throughout.
Didn't know it was lost! To find the radius of a sphere you first need to know what information you do have. If none, then the easiest way is to measure the volume using water displacement. Then V = 4/3*pi*r3 so that r = cube root of 3V/4pi The diameter is not that easy to measure because it is the distance between two parallel tangential planes to the sphere. It is very difficult to ensure that the planes are truly parallel.
Take the cube root of the volume.
None. And when you find a sphere which is not 3d I would like to know.
You know it is three by definition