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圆球面积计算(Sphere area calculation)
圆球面积计算(Sphere area calculation)
In order to accurately calculate the size of the ball, can the overall look like spherical cube, volume formula of the square volume formula to replace the ball, which is an idea, according to the analysis, and then analysis is feasible.
There are 8 reasons for converting a sphere into a square.
1. The formula of the circle area: because the formula of the circle area is a formula for calculating the area of the circle after cutting the square into squares, in this way, the ball can be cut into squares.
2, in a circle, passes through the centre, is the center of the ball point X line segment, the X line segments are the diameter of this circle, and long and short are equal. The line from the center of the circle to the circle is the radius of the circle, and the length and the length are equal.
As shown in Figure 1-4
3, a square has six faces, and the six sides are not only of equal size. And the length of each side is equal.
4, to the area of a circle with the square root formula that side of the circle area, also know the ball into the side length of the square.
5. If the ball is made of soft material, its volume and surface area will not increase and decrease after its shape is changed.
The 6 round, regardless of size, the angle is 360 degrees. In a flat square regardless of size, it is four sum of angles is 360 degrees.
7. The diameter of a circle is equal to the diameter of the ball, and the diameter and radius of the circle are equal to the diameter and radius of the ball.
8, if you hit two holes in a ring, the hole and the center of the ring in a straight line, if the line is used instead of steel, and the steel ring and the upright on a plane and a steel rod fixed, the ring can rotate around the bar, in turn appears to form a spherical shadow.
To the area of a circle with sqrt obtain side significance:
It is the key to obtain the length of the circle area. It is the only way to calculate the volume of the sphere:
The diameter
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