I understand the question to mean that when somebody gives you the volume of the sphere (V), you want to be able to find its radius (R). When you have the radius, you calculate the volume with V = 4/3 pi R3, so we'll just solve this equation for R. V = 4/3 pi R3 (3V)/(4 pi) = R3 R (radius) = cube root of [ (3V) / (4 pi) ] R = 0.6203 times the cube root of ( Volume )
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V(sph) = (4/3) pi r^(3)
Algebraically rearranging
r^(3) = 3V/ (4pi)
NB Take the Cube Root of BOTH sides.
r = cu.rt[3V/4pi]
V(3)=4/3 27 pie
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.
The volume of a sphere with a radius of 21 units is: 12,348 units 3
The new volume is 76.566 cubic inches.
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.