What is ' h ' ? !
The volume of a sphere is 4/3 (pi) r3
A sphere's volume is measured in cubic units, not square units.
360 units cubed
No, it rarely is.
THE Method of Equilibrium
Volume = pi*r2h = 62.8 cubic feet.
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 radius of a sphere is equal to one-half the diameter. If the volume of the sphere is known, then the radius (r) is equal to the cube root of 3/4 of (Volume/pi).
A sphere's volume is measured in cubic units, not square units.
The formula for the volume of a sphere is based on the radius of the sphere. It is equal to 4/3 multiplied by pi, multiplied by the radius cubed.
A sphere with a volume of 50 units3 has a radius of 2.29 units. A sphere with twice the radius (4.58 units) has a volume of 402 units3.
volume is equal to four thirds pie times the radius cubed.
360 units cubed
No, it rarely is.
THE Method of Equilibrium
The formula for the volume of a sphere is 4/3 πr3, where r is the radius of the sphere. For example, for a sphere with radius 2cm, the volume is (23 x π) x 4/3 - which is equal to 10 2/3 x π, or, to two decimal places, 33.51cm2.
The volume of a cube is L3. The volume of a sphere is 4/3 π r3 . If L=2r, Vcube=8r3. Comparing the volume of the cube with a side 2r and a sphere with a diameter of 2r where the r's are equal gives us: Vcube/Vsphere= (8r3)/(4/3 π r3 ) or (8x3)/(πx4) As π roughly equals 3 the equation simplifies to: Vcube/Vsphere=2 or a cube with its side equal to the diameter of a sphere has a volume approximately twice that of the sphere.
The ratio is given as the sphere volume divided by the volume of the cone. The volume of a sphere that satisfies these conditions is 4/3 x pi x r cubed, and the volume for the cone is 2/3 x pi x r cubed, where r is the radius and pi is equal to 3.14. Dividing these two volumes, you find the resulting ratio is 2.