The volume of the sphere is 268.08 cubic units.
The volume is 7,238.2 cubic feet.
the cylinder is approximately 50240 m3 the sphere is approximately 33493 and 1/3 m3
(4/3)*pi The formula for the volume of a sphere is (4/3)*pi*radius3
V = 268.1 cubic feet.
volume is 4/3 pi x the redius cubed
V = 4/3*pi*r^3 you do the math
I'm quite sure this is impossible to prove, because the volume of a sphere is not equal to the volume of a cylinder with the same radius and height equal to the sphere's diameter. This can be shown as: Volume of sphere = (4*pi*r3) / 3. Volume of cylinder = pi*r2*h. Here, the height, h, of the cylinder = d = 2r. So, the volume of the cylinder = pi*r2*2r = 2*pi*r3, which obviously does not equal the volume of the sphere. The volume of half a sphere (with radius r) is equal to the volume of a cylinder(whose height is equal to its radius, r) minus the volume of a cone with the same height and radius. Therefore, the volume of a sphere is just double that. If you follow the nearby link, you can see a nice demonstration of that.
The volume of a sphere with a diameter of 12cm is about 904.8cm3