Why is the volume of a sphere 43g squared?
Since the cylinder/cone and the hemisphere have the same height, according to Cavalieri’s principle, their volumes are equal. … Therefore, a sphere of radius R has a volume of 43πR 3.
Why 4 pi squared?
The geometric explanation is that 4πr2 is the derivative of 4 3 πr 3, the volume of a sphere of radius r, with respect to r. Because if you increase r slightly, the volume of the ball will change by its area multiplied by a small increase in r.
Why is the volume of a sphere 2/3 the volume of a cylinder?
The formulas for the volume of a sphere and the volume of a cylinder are well known. The height of the cylinder is twice the radius of the sphere. As you can see, the ratio is 2/3. The surface of the sphere is also familiar to anyone who spent their teenage years in math classes.
How much is 4/3 pi r cubed?
The volume of the sphere is (4/3) Pi r^3.