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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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15y ago

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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]

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lenpollock

Lvl 16
11mo ago
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Q: What is the radius of the sphere as a function of a volume?
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