33.51 cm^3
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Volume of a sphere is 4/3 pi times the cube of its radius.
The rule for the volume of a sphere is:4piR^3/3where R is the radius.So if the radius is 2,V = (4pi x 2^3) /3V = (4pi x 8) /3V = 32pi / 3V = 33.51cm^3
The volume of a sphere is given by the formula V =⁴⁄ ₃πr3The volume of a sphere with radius 7cm = ⁴⁄ ₃π73 = 1436.76 cm3 (to 2 dps)
First we have to find the radius of the sphere because the circumference is 2*pi*radius. 4/3*pi*radius3 = 904.7786842 cubic cm With your calculator multiply both sides by 3 and then divide both sides by 4*pi: radius3 = 216 Cube root both sides: radius = 6 cm Circumference = 2*pi*6 = 37.69911184 or 38 cm to the nearest cm.
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.